Algebra Examples

$5 x = \ln (8)$

Step 1

Divide each term in $5 x = \ln (8)$ by $5$ .

$\frac{5 x}{5} = \frac{\ln (8)}{5}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $5$ .

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Step 2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{\ln (8)}{5}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{\ln (8)}{5}$

Step 3

Simplify the right side.

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Step 3.1

Rewrite $\frac{\ln (8)}{5}$ as $\frac{1}{5} \ln (8)$ .

$x = \frac{1}{5} \ln (8)$

Step 3.2

Simplify $\frac{1}{5} \ln (8)$ by moving $\frac{1}{5}$ inside the logarithm.

$x = \ln (8^{\frac{1}{5}})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \ln (8^{\frac{1}{5}})$

Decimal Form:

$x = 0.41588830 \dots$