Algebra Examples

$\log_{2} (x) = 2$

Rewrite $\log_{2} (x) = 2$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$2^{2} = x$

Solve for $x$ .

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Rewrite the equation as $x = 2^{2}$ .

$x = 2^{2}$

Raise $2$ to the power of $2$ .

$x = 4$