try these.Evaluate the following logarithms.​

Try These.Evaluate The Following Logarithms.

Answers

Answer 1

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]


Related Questions

Determine whether each function is even, odd, or neither.
f(x) = x²_9

g(x) = |x-3

f(x) = 22-1

g(x) = x + x2

Answers

Rule for even

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]

Rule for odd

[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]

Here D_f means domain of function.

#1

[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]

Take x=4

[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]

[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]

Even function✓

#2

[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]

Take x=2

[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]

[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]

[tex]\\ \sf\longmapsto -g(2)=-1[/tex]

Odd function✓

#3

[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]

Take x=3

[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]

[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]

Odd function ✓

#4

[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]

Take x=1

[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]

[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]

[tex]\\ \sf\longmapsto -g(1)=-2[/tex]

Neither✓

Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.

Answers

Answer:

Bridget was thinking of the number 592

correct??

Step-by-step explanation:

IM FAILLING PLZ HELPPPPP MEEEE

Answers

Answer: (x+ 13, y+13)

Step-by-step explanation:

is the answer i chose correct ?

Answers

Answer:

The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3

Step-by-step explanation:

If you multiply 3 by 4/3. The answer will be 12/3 or 4.

If you multiply 6 by 4/3. The answer will be 24/3 or 8.

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.

Answers

Answer:

32.5

Step-by-step explanation:

10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up

4 can not fit into 15 so we have to stop at 12 pizzas.

Now we need to add 3 pizzas

:Note: that one pizza is 2.5 of an ounce  out of 10 ounces

so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over

2.5 + 30 = 32.5

FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)​

Answers

4a(a - b) + 3b(b - a)

= 4a² - 4ab + 3b² - 3ab

= 4a² - 4ab - 3ab + 3b²

= 4a² - 7ab + 3b²

= (a - b) (4a - 3b)

________

Hope it helps ⚜

fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation

Answers

Answer:

1.23 x 10^-2

A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?

Answers

C=11 x N I wanna say but try and confirm this

solve pls brainliest

Answers

7/40 written as a decimal is 0.175

The answer is 0.175 So easy

i need this one fast too so if you can please help fast

Answers

Y=-5 (-6, -5) is the answer

Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)

Answers

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

1) Round 26.728 to the nearest integer
What

Answers

I believe it would be 27?

Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters​

Answers

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

h3elpppp pleaseeeehejejrhegss

Answers

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

100 PTS! HELP QUICK!!

Answers

We have 7x - 3x - 2 + 1 = 8 + x - 3 - 3x
<=> 4x - 1 = 5 - 2x
<=> 4x + 2x = 5 + 1
<=> 6x = 6
<=> x = 1

Ok done. Thank to me:>

Answer:

x=1

Step-by-step explanation:

What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?

Answers

Answer:

Step-by-step explanation:

(9-10)/(-6 - - 9) = -1/3

Lyla grew 16 flowers with 2 seed packets.
How many seed packets does Lyla need to have
a total of 40 flowers in her garden?
Assume the relationship is directly proportional.
seed packets
Help now.no spam.no links PLEASE HELP NOW.

Answers

Answer:

Lyla needs 5 seed packets to have a total of 40 flowers.

Hope this helps!

Step-by-step explanation:

16 / 2 = 8  

Lyla can grow 8 flowers using 1 seed packet.

(5) 8 <- (5) 1

40 <- 5

Lyla can grow 40 flowers using 5 seed packets.

Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?

Answers

Answer:

29.2425

Step-by-step explanation:

25%=0.25

38.99 *  0.75 = 29.2425

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

help me please on my math I need All of this FACTORS and the LCM​

Answers

Answer:

the LCM is :

1. 144

2.40

3.870

4. 63

5.216

6.150

7. 112

8.162

9. 96

10. 40

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?

Answers

Answer:

The slope is 3/7 or ~0.43

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1

7-4=3

10-3=7

3/7=0.428

Please help me please help meee

Answers

Answer:

A

Step-by-step explanation:

As it is 7 people that like blue

Help me please Research

Answers

Answer:

i think the details given for the question is in sufficient or question is wrong

Please help quickly please

Answers

Answer

169

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS

Answers

Answer:

the first option

Step-by-step explanation:

hope this help have a great rest of your night :)❤

A similar image that is 10 times bigger write the rule

Answers

Answer:

× times 10

Step-by-step explanation:

that image times 10

5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100

Answers

I believe it’s b, so sorry if I’m wrong

What is the value of x?

Answers

Answer:

x=23

Step-by-step explanation:

3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.

:))

15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image

Answers

Answer:

4 hours

Step-by-step explanation:

1 hour x 3 = 3 hours

So Brian spent 3 hours assembling and painting the plane

However the question asks for the total time, so we would do:

1 hour + 3 hours to get 4 hours

So in total, Brian spent 4 hours carving, assembling and painting the plane

Hope this makes sense.

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Read the paragraph and help pls! Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat. Find the value of x. [tex] \: [/tex]What is Meant By "MUAY THAI" In the chloroplast, energy in sunlight is passed around different chlorophyll molecules until it reaches a specific chlorophyll molecule that can transfer energy in sunlight to an energized electron. This chlorophyll molecule is called the accessory pigment. electron-carrier molecule. nucleus. photoelectric point. reaction center. The service known as ___ contains original content in the form of live or recorded streams showing individuals playing video games. By 1900, around 100,000 black families owned land in the Deep South-True -FalseILL MARK BRAINLIEST The state of Georgia has a yearly energy surplus.Question 8 options: a) True b) False Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer.. What does Poncho ask for from the saint? Menciona tres diferencias entre un planeta y un satlite natural. Why did Frederick have to go to the hospital Every society uses various strategies to regulate the behavior of individuals; this general process is called ________ how to determine if two functions are inverses of each other Question 1 of 10Using the graph as your guide, complete the following statement.The discriminant of the function is101HA-1010 Consider the following reaction: 2A + 3B --> 2C If you have 2 moles of A and 6 moles of B, what is the maximum number of moles of C that can be made by the reaction On November 1, 2019, Davis Company issued $30,000, six-year, 7% bonds for $29,340. The bonds were dated November 1, 2019, and interest is payable each on May 1 and November 1. Davis uses the straight-line method of amortization. How much is the book value of the bonds after the November 1, 2020 interest payment was recorded using the straight-line method of amortization I will give brainliest 100 points if answer question " Since justices on the California Supreme Court serve for 12 years and are required to be confirmed by the public (in a general election and at the end of their term), provide an explanation of whether you believe that justices on the US Supreme Court should also be confirmed by the public". Please provide an example. Thanks how should civil rights be used? say with examples Select all that apply Identify the statements below which summarize what cash discounts are. (Check all that apply.) Multiple select question. A reduced payment applies to the credit period. A buyer views a cash discount as a purchase discount. A reduced payment applies to the discount period. Cash discounts are described in credit terms. Sellers can grant a cash discount to encourage buyers to pay earlier. A seller views a cash discount as a sales discount. A seller views a cash discount as a purchase discount.