Logarithms with Exponents

Practice Questions

Algebra II › Logarithms with Exponents

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1

Which statement is true of

$\log_{7} \sqrt[N]{7}$

for all integers ?

2

Which statement is true of $\frac{1}{5} \log _{5}N$ for all positive values of ?

3

Evaluate the following for all integers of $\small a$ and $\small b$

$\small a^{\log _{a}(b)}$

4

Simplify: $2e^{ln(2x+1)}$

5

Simplify

$\log6^2$

6

Evaluate the following expression

$\left ( \log1000\right)^{2}=$

7

Evaluate the following expression

$\left( \log _{2}16 \right)^{3}$

8

Which of the following equations is valid?

9

Use

$\log4=0.602$

and

$\log12=1.079$

Evaluate:

$\log64$

10

Evaluate the following expression

$\small \log _{3}(9^{2})$

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