Algebra Examples

$\log_{2} (x) = 3$

Step 1

Rewrite

$\log_{2} (x) = 3$ 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

$b^{y} = x$ .

$2^{3} = x$

Step 2

Solve for

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

$x = 2^{3}$ .

$x = 2^{3}$

Step 2.2

Raise

$2$ to the power of

$3$ .

$x = 8$

$x = 8$

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