Trigonometry Examples

$\log_{4} (x) = 6$

Step 1

Rewrite $\log_{4} (x) = 6$ 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 $b^{y} = x$ .

$4^{6} = x$

Step 2

Solve for $x$ .

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Step 2.1

Rewrite the equation as $x = 4^{6}$ .

$x = 4^{6}$

Step 2.2

Raise $4$ to the power of $6$ .

$x = 4096$