# Expanding Logarithms Calculator

## Get detailed solutions to your math problems with our Expanding Logarithms step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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### Difficult Problems

1

Solved example of expanding logarithms

$\log\left(\frac{xy}{z}\right)$
2

The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$

$\log \left(xy\right)-\log \left(z\right)$
3

Use the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$, where $M=x$ and $N=y$

$\log \left(x\right)+\log \left(y\right)-\log \left(z\right)$

$\log \left(x\right)+\log \left(y\right)-\log \left(z\right)$