Algebra Examples

$\log_{3} (x) = 4$

Step 1

Rewrite $\log_{3} (x) = 4$ 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 $b^{y} = x$ .

$3^{4} = x$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $x = 3^{4}$ .

$x = 3^{4}$

Step 2.2

Raise $3$ to the power of $4$ .

$x = 81$