Precalculus Examples

\log_{4} (x) = 4

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

Step 1

Rewrite

\log_{4} (x) = 4

$\log_{4} (x) = 4$ in exponential form using the definition of a logarithm. If

x

$x$ and

b

$b$ are positive real numbers and

b \neq 1

$b \neq 1$ , then

\log_{b} (x) = y

$\log_{b} (x) = y$ is equivalent to

b^{y} = x

$b^{y} = x$ .

4^{4} = x

$4^{4} = x$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

x = 4^{4}

$x = 4^{4}$ .

x = 4^{4}

$x = 4^{4}$

Step 2.2

Raise

4

$4$ to the power of

4

$4$ .

x = 256

$x = 256$

x = 256

$x = 256$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$