Algebra Examples

\log_{5} (x) = 2

$\log_{5} (x) = 2$

Step 1

Rewrite

\log_{5} (x) = 2

$\log_{5} (x) = 2$ 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

$b^{y} = x$ .

5^{2} = x

$5^{2} = x$

Step 2

Solve for

x

$x$ .

Tap for more steps...

Step 2.1

Rewrite the equation as

x = 5^{2}

$x = 5^{2}$ .

x = 5^{2}

$x = 5^{2}$

Step 2.2

Raise

5

$5$ to the power of

2

$2$ .

x = 25

$x = 25$

x = 25

$x = 25$

\log_{5} x = 2

$\log_{5} x = 2$

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

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