Trigonometry Examples

$\log_{4} (x) = 2.5$

Step 1

Rewrite $\log_{4} (x) = 2.5$ 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 $b^{y} = x$ .

$4^{2.5} = x$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $x = 4^{2.5}$ .

$x = 4^{2.5}$

Step 2.2

Raise $4$ to the power of $2.5$ .

$x = 32$