Free Printable Log Problems Quiz

1.

ln(4xy)

a)

ln4+lnx+lny

b)

4lnxy

c)

4lnx+lny

d)

4ln(x+y)

2.

$\log\left(\frac{m^3}{n}\right)$

a)

logm-log3-logn

b)

3logm+logn

c)

3logm-logn

d)

3log(m-n)

3.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

4.

Condense: log16 + log2 - log8

a)

log4

b)

log8

c)

log10

d)

log24

5.

Rewrite log_x95 = 2.3

a)

x^2.3 = 95

b)

95^2.3 = x

c)

2.3⁹⁵ = x

d)

x⁹⁵= 2.3

6.

Expand: $\log_9\sqrt{23}$

a)

$\frac{1}{2}\log_923$

b)

$\log_9\left(\frac{1}{2}\right)-\log_923$

c)

$\log_9\sqrt{2}+\log_9\sqrt{3}$

d)

$\log_9\ \left(\frac{1}{2}\right)+\log_923$

7.

Expand: $\log\ \frac{k^3}{2}$

a)

$3\log2\ -\ \log k$

b)

$3\log k-\log2$

c)

$3\log k+\log2$

d)

$\log k-3\log2$

8.

What equation matches the graph?

a)

f(x) = 3^x

b)

f(x) = (⅓)^x

c)

f(x) = log₃(x)

9.

Where is the asymptote?

a)

x = 1

b)

y = 1

c)

x = -1

d)

y = -1

10.

log₄(3x-1)=log₄(2x+3)

a)

4

b)

3

c)

1

d)

8

11.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

12.

Solve:
log x + log 8 = 2

a)

10

b)

12.5

c)

15

d)

17.5

Log Problems Quiz

Total questions: 12

Worksheet time: 57mins

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