Algebra Examples

\log_{2} (x) = 4

$\log_{2} (x) = 4$

Step 1

Rewrite

\log_{2} (x) = 4

$\log_{2} (x) = 4$ 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

$b^{y} = x$ .

2^{4} = x

$2^{4} = x$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

x = 2^{4}

$x = 2^{4}$ .

x = 2^{4}

$x = 2^{4}$

Step 2.2

Raise

2

$2$ to the power of

4

$4$ .

x = 16

$x = 16$

x = 16

$x = 16$

\log_{2} x = 4

$\log_{2} x = 4$

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

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