# Logarithm problems and solutions

### Expressions

List of the logarithmic expressions problems with solutions to learn how to evaluate them by simplification.

### Equations

List of the logarithmic equations problems with solutions to learn how to solve the logarithm equations.

Solve $\log_{3}{\big(5+4\log_{3}{(x-1)}\big)}$ $\,=\,$ $2$

Evaluate $\dfrac{x}{y}+\dfrac{y}{x}$ if $\log{\Big(\dfrac{x+y}{3}\Big)}$ $\,=\,$ $\dfrac{1}{2}(\log{x}+\log{y})$

Solve $x$ $+$ $\log{(1+2^x)}$ $=$ $x\log{5}$ $+$ $\log{6}$

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