Free Printable Logs/Exp Quiz Review

1.

log₂32=3x

a)

5/3

b)

3/5

c)

5

d)

3

2.

Solve for x:

4^{2x}+1=\frac{65}{64}

a)

Undefined

b)

x = -1

c)

x = 1.5

d)

x = -1.5

3.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

4.

Evaluate without a calculator..

log₆(¹/₂₁₆)

a)

3

b)

¹/₃

c)

-¹/₃

d)

-3

5.

What is the asymptote of this function:
f(x) = 2^x-1+ 3

a)

x = 1

b)

x = -1

c)

y = 3

d)

y = - 3

6.

find the asymptote: y = log₁₀ (x+3)

a)

x = -3

b)

x = 3

c)

y = -3

d)

y = 3

7.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

8.

log₄1 =

a)

0

b)

1

c)

4

d)

DNE

9.

Evaluate without a calculator:

log₂(-4)

a)

-2

b)

2

c)

-1/2

d)

undefined

10.

Solve for n:

\log_3\left(n^2-10\right)=\log_3\left(2n^2+7n\right)

a)

n = -5, -2

b)

n = -5

c)

n = 0, -5

d)

n = -2, 0

11.

Evaluate the following logarithm:

log₈₁27

a)

²/₃

b)

³/₂

c)

³/₄

d)

⁴/₃

12.

Find the inverse function:

a)

y^-1 = 2^(x-9)+ 5

b)

y^-1 = 2^(x+9)- 5

c)

y^-1 = 5^(x-9)- 5

d)

y^-1 = 5^(x-9)+ 5

13.

Find the inverse function: y=5^x- 8

a)

y^-1 = log₅(x-8)

b)

y^-1 = log₅(x+8)

c)

y^-1 = log₈(x-5)

d)

y^-1 = log₈(x+5)

14.

What is the range for the graph of

f(x)=log (x+2) - 6?

a)

(-2 , ∞ )

b)

(-∞ , 6 )

c)

(-6 , ∞ )

d)

(-∞ , ∞ )

15.

Evaluate: log₆₄4

a)

3

b)

-3

c)

⅓

d)

-⅓

16.

Solve for x: log₃ x = -4

a)

1/81

b)

81

c)

-81

d)

-1/81

17.

What is the end behavior of $f\left(x\right)=5^{\left(x-2\right)}+8$ ? Choose both statements that apply.

a)

$as\ x\rightarrow-∞,\ f\left(x\right)\rightarrow\ 8$

b)

$as\ x\rightarrow∞,\ f\left(x\right)\rightarrow∞$

c)

$as\ x\rightarrow-∞,\ f\left(x\right)\rightarrow\ -∞$

d)

$as\ x\rightarrow∞,\ f\left(x\right)\rightarrow\ 8$

18.

Given: $f\left(x\right)=5^x$ , write the following transformations using function notation: down 2, right 3, reflect x-axis

a)

$f\left(x\right)=-5^{\left(x-3\right)}-2$

b)

$-f\left(x+3\right)-2$

c)

$f\left(x\right)=-5^{\left(x+3\right)}-2$

d)

$-f\left(x-3\right)-2$

19.

Evaluate: $\log_381^{5x}$

a)

4

b)

5x

c)

20x

d)

Undefined

20.

Evaluate: $3^{\log_3\left(4x\right)}$

a)

Undefined

b)

81x

c)

4

d)

4x

Logs/Exp Quiz Review

Total questions: 20

Worksheet time: 40mins

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