Trigonometry Examples

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

Step 1

Rewrite the equation as $\log_{4} (x) = 3$ .

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

Step 2

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

$4^{3} = x$

Step 3

Solve for $x$ .

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Step 3.1

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

$x = 4^{3}$

Step 3.2

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

$x = 64$