Free Printable Logarithms (mixed practice)

1.

Describe the end behavior of the function shown: y=log₂(x+1)

a)

b)

c)

2.

Describe domain of the function shown: y=log₂(x+1)

a)

x < 3

b)

x > -1

c)

x > 0

d)

x < -1

3.

Describe range of the function shown: y=log₂(x+1)

a)

All real numbers

b)

All positive real numbers

c)

y < 3

d)

y > -1

4.

Logarithms and Exponentials are what?

a)

parallel

b)

perpendiular

c)

inverses

d)

congurent

5.

a)

log (xy³)

b)

log (x⁶− y³)

c)

log (x⁶/y³)

d)

log (x⁶ + y³)

6.

Rewrite log_b(xⁿ)

a)

nlog_bx

b)

(log_bx)ⁿ

c)

xⁿlog_bx

d)

log_b(xⁿ)

7.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=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.

Condense: log16 + log2 - log8

a)

log4

b)

log8

c)

log10

d)

log24

10.

Write 6^x = 8 in log form.

a)

log₆ 8 = x

b)

log₈ 6 = x

c)

log₆ x = 8

d)

log₈ x = 6

11.

Rewrite log_vn = a in exponential form.

a)

v^a = n

b)

n^a = v

c)

vⁿ = a

d)

aⁿ = v

12.

Write in logarithmic form:

a^b = c

a)

log _a c = b

b)

log _b c = a

c)

log _a b = c

d)

log _b a = c

13.

Evaluate.

a)

1/2

b)

√2

c)

2

d)

-2

14.

Evaluate: log₂32

a)

5

b)

4

c)

16

d)

6

15.

If $\log_BA=\frac{\log A}{\log B}$ , then $\log_4256=$

a)

$\frac{\log256}{\log4}$

b)

$\frac{\log4}{\log256}$

16.

If $\log_BA=\frac{\log_nA}{\log_nB}$ , then $\log_{25}3=$

a)

$\frac{\ln25}{\ln3}$

b)

$\ln\frac{25}{3}$

c)

$\frac{\ln3}{\ln25}$

d)

$\ln\frac{3}{25}$

Logarithms (mixed practice)

Total questions: 16

Worksheet time: 24mins

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