Quiz about Exponential/Logarithm Review

Question 1

When a logarithm has division inside of it, it expands using ________________.

Accepted Answer

Subtraction

Answer

Addition

Answer

Multiplication

Answer

Division

Question 2

Expand

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 3

Condense

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 4

Expand

Accepted Answer

$$6\log_8u-2\log_8v$$

Answer

$$6\log_8v-2\log_8u$$

Answer

$$3\log_8u-2\log_8v$$

Answer

$$6\log_8u+2\log_8v$$

Question 5

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 6

Use the property $$\log_b\left(x\right)^a\ =\ a\log_b\left(x\right)\ $$
to expand $$\log_5\left(x\right)^2\ $$

Accepted Answer

$$2\log_5\left(x\right)\ $$

Answer

$$5\log_2\left(x\right)\ $$

Answer

$$\log_5\left(x\right)\ +\ \log_5\left(2\right)$$

Answer

$$\log_5\left(x\right)\ -\ \log_5\left(2\right)\ $$

Question 7

Condense $$\log_3\left(8\right)+\log_3\left(3\right)-\log_3\left(2\right)$$

Accepted Answer

$$\log_3\left(12\right)\ $$

Answer

$$\log_3\left(9\right)$$

Answer

$$\log_3\left(48\right)$$

Answer

$$\log_3\left(8\right)$$

Question 8

When a logarithm has division inside of it, it expands using ________________.

Accepted Answer

Subtraction

Answer

Addition

Answer

Multiplication

Answer

Division

Question 9

Write log_b(xy) as two logs

Accepted Answer

log_bx+log_by

Answer

log_bx-log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 10

What is the value of ln(e⁷)

Accepted Answer

7

Answer

2.718...

Answer

1

Answer

Does not exist

Question 11

Solve for x:
e^x=7

Accepted Answer

x=ln7

Answer

x=ln7

Answer

x=7ln

Answer

No solution

Question 12

How are exponentials and logarithms related?

Accepted Answer

They're inverses

Answer

They're cousins

Answer

They're not related

Answer

They're reciprocals

Question 13

What is the base?

$$y=\log_5\left(x-1\right)$$

Accepted Answer

5

Answer

1

Answer

10

Answer

3

Question 14

Solve

Accepted Answer

x = 4

Answer

x = -2

Answer

x = 2

Answer

x = -4

Question 15

4^{3x + 5} = 16

Accepted Answer

-1

Answer

-5/3

Answer

-3/2

Answer

2/3

Question 16

What is the base in
f(x)=2(6)^x+3-8 ?

Accepted Answer

6

Answer

2

Answer

-3

Answer

-8

Question 17

Solve for n:
2^-2n = 2⁶

Accepted Answer

-3

Answer

-1

Answer

-7

Answer

5

Question 18

Solve the equation for x

Accepted Answer

0.792

Answer

1.585

Answer

3.169

Answer

1.084

Exponential/Logarithm Review

23 questions

When a logarithm has division inside of it, it expands using ________________.

Expand

Condense

Expand

Rewrite 3⁴ = 81 in logarithmic form.

When a logarithm has division inside of it, it expands using ________________.

Write log_b(xy) as two logs

What is the value of ln(e⁷)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential/Logarithm Review

23 questions

When a logarithm has division inside of it, it expands using ________________.

Expand

Condense

Expand

Rewrite 34 = 81 in logarithmic form.

When a logarithm has division inside of it, it expands using ________________.

Write logb(xy) as two logs

What is the value of ln(e7)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rewrite 3⁴ = 81 in logarithmic form.

Write log_b(xy) as two logs

What is the value of ln(e⁷)