Finite Math Examples

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

Step 1

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

$a^{3} = x$

Step 2

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

$a = \sqrt[3]{x}$