Free Printable Exit Ticket: Product, Quotient, and Power Properties of Logs

1.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

2.

Rewrite log_vn = a in exponential form.

a)

v^a = n

b)

n^a = v

c)

vⁿ = a

d)

aⁿ = v

3.

Expand: log(4x)

a)

log4-logx

b)

log4+logx

c)

4logx

d)

xlog4

4.

Rewrite as a single logarithm:

\log3\ +\ \log7

a)

log 10

b)

log 21

c)

log 3/7

d)

log 3/log 7

5.

Expand: $\log\left(\frac{x}{y}\right)$

a)

logx+logy

b)

xlogy

c)

log(x-y)

d)

logx-logy

6.

Condense

\log_5y-\log_525

a)

$\log_5\left(y-25\right)$

b)

$\log_5\left(25y\right)$

c)

$\log_5\left(\frac{y}{25}\right)$

d)

$\log_5\left(\frac{25}{y}\right)$

7.

Which are equivalent to:

$\log_24^2$

(There is more than 1 correct answer)

a)

$4\log_22$

b)

$2\log_42$

c)

$2\log_24$

d)

2

8.

Expand the following logarithm:
log₂ 5x.

a)

log₂ 5 - log₂ x

b)

log₂ 5 + log₂ x

c)

2log 5 + 2log x

d)

log5 2 + log_x 2

9.

The natural logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

10.

Solve ln e

a)

10

b)

1

c)

5

d)

3

Exit Ticket: Product, Quotient, and Power Properties of Logs

Total questions: 10

Worksheet time: 18mins

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