Free Printable 5.1-5.3 Logs and Exponentials

1.

Evaluate: log₃1

a)

1

b)

0

c)

3

d)

e

2.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

3.

Which graph best represents the following logarithmic function?
$y=\log_4x$

a)

b)

c)

d)

4.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

5.

Evaluate.
log₃81

a)

4

b)

¹/₄

c)

-4

d)

-¹/₄

6.

Classify the following graph.

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithmic

7.

Using the parent function $y=\log_3x$ what would the graph of $y=\log_3\left(x+5\right)$ look like?

a)

Horizontal shift left 5 units

b)

Horizontal shift right 5 units

c)

Vertical shift up 5 units

d)

Vertical shift down 5 units

8.

Write the exponential equation as a logarithm
6³=216

a)

log₆(3) = 216

b)

log₃(6) = 216

c)

log₆(216)=3

d)

log₂₁₆(6)=3

9.

Rewrite as an exponential: $\log_7\left(\frac{1}{49}\right)=-2$

a)

$7^{\frac{1}{49}}=-2$

b)

$\left(\frac{1}{49}\right)^{-2}=7$

c)

$7^{-2}=\frac{1}{49}$

d)

$\left(-2\right)^7=\frac{1}{49}$

10.

Evaluate log₇ 343

a)

3

b)

49

c)

7

d)

1

5.1-5.3 Logs and Exponentials

Total questions: 10

Worksheet time: 30mins

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