How to Use Properties of Logarithms? (+FREE Worksheet!)

Properties of Logarithms – Example 4:

Exercises for Properties of Logarithms

Expand the logarithm.

2. \(\color{blue}{log_{a}{(\frac{1}{2})}=}\)

3. \(\color{blue}{log_{a}{(2^5×8)}}\)

4. \(\color{blue}{log_{b}{(2x×7y)}}\)

Condense into a single logarithm.

5. \(\color{blue}{log_{a}{x}+log_{a}{y}}\)

6. \(\color{blue}{log_{a}{2x}-2log_{a}{y}}\)

1. \(\color{blue}{-log 5}\)
2. \(\color{blue}{-log_{a} {2}}\)
3. \(\color{blue}{5log_{a} {2}+log_{a} {8}}\)
4. \(\color{blue}{log_{b} {2x}+log_{b} {7y}}\)
5. \(\color{blue}{log_{a} {xy}}\)
6. \(\color{blue}{log_{a} {\frac{2x}{y^2}}}\)

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