Adding and Subtracting Logarithms

Practice Questions

Algebra II › Adding and Subtracting Logarithms

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1

Simplify the expression using logarithmic identities.

2

Which is another way of expressing

$\small \log(4)+\log(5)$ ?

3

Add the logarithms:

$log_{10}(2)+log_{10}(7)$

4

Combine as one log:

5

True or false: $\log e ^{N} = N$ for all values of .

6

True or false: $\log _{7} N = \frac{\log_{6}N}{\log_{6}7}$ for all positive .

7

True or false: for all positive values of ,

$\log 100N = 2+\log N$

8

True or false:

$\log\left ( -2 N \right ) = \log (-2) + \log N$

for all negative values of .

9

Add the logarithms:

$log_{10}(5)+log_{10}(4)$

10

Simplify the following expression:

$\log_{3}6+\log_{3}4-\log_{4}5$

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