Free Printable Simplifying Advanced Logarithmic Expressions

1.

$\log\ \frac{1}{\sqrt{100,000}}$

a)

$\frac{2}{5}$

b)

$\frac{-2}{5}$

c)

$\frac{5}{2}$

d)

$\frac{-5}{2}$

2.

$\log_4\left(\frac{1}{\sqrt{8}}\right)\$

a)

$\frac{-2}{3}$

b)

$\frac{-4}{3}$

c)

$\frac{-3}{2}$

d)

$\frac{-3}{4}$

3.

$\log_8\left(\sqrt{32}\right)\$

a)

$\frac{2}{5}$

b)

$\frac{6}{5}$

c)

$\frac{5}{6}$

d)

$\frac{5}{4}$

4.

$\log_6\left(\frac{1}{\sqrt{216}}\right)\$

a)

$\frac{2}{3}$

b)

$\frac{-2}{3}$

c)

$\frac{3}{2}$

d)

$\frac{-3}{2}$

5.

$\log_{16}\left(\frac{1}{\sqrt{64}}\right)$

a)

$\frac{-2}{5}$

b)

$\frac{3}{5}$

c)

$\frac{-4}{3}$

d)

$\frac{-3}{4}$

6.

$\ln\left(\sqrt{e^7}\right)$

a)

$\frac{-7}{2}$

b)

$\frac{2}{7}$

c)

$\frac{-2}{7}$

d)

$\frac{7}{2}$

7.

$\ln\left(\frac{1}{\left(\sqrt{e}\right)^9}\right)$

a)

$\frac{-9}{2}$

b)

$\frac{2}{9}$

c)

$\frac{-2}{9}$

d)

$\frac{9}{2}$

8.

$\log_9\left(\frac{1}{\sqrt{27}}\right)$

a)

$\frac{-2}{3}$

b)

$\frac{-3}{4}$

c)

$\frac{-4}{3}$

d)

$\frac{-3}{2}$

9.

$\log_{16}\left(\frac{1}{\sqrt{8}}\right)$

a)

$\frac{-3}{8}$

b)

$\frac{-3}{4}$

c)

$\frac{-4}{3}$

d)

$\frac{-5}{4}$

10.

$\log_{49}\left(\frac{1}{\sqrt{343}}\right)\$

Hint: 7x7x7=343

a)

$\frac{-2}{3}$

b)

$\frac{-4}{3}$

c)

$\frac{-3}{2}$

d)

$\frac{-3}{4}$

Simplifying Advanced Logarithmic Expressions

Total questions: 10

Worksheet time: 20mins

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