Calculus Examples

$\ln (37) = 4 x$

Step 1

Rewrite the equation as $4 x = \ln (37)$ .

$4 x = \ln (37)$

Step 2

Divide each term in $4 x = \ln (37)$ by $4$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $4 x = \ln (37)$ by $4$ .

$\frac{4 x}{4} = \frac{\ln (37)}{4}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{\ln (37)}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{\ln (37)}{4}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Rewrite $\frac{\ln (37)}{4}$ as $\frac{1}{4} \ln (37)$ .

$x = \frac{1}{4} \ln (37)$

Step 2.3.2

Simplify $\frac{1}{4} \ln (37)$ by moving $\frac{1}{4}$ inside the logarithm.

$x = \ln (37^{\frac{1}{4}})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \ln (37^{\frac{1}{4}})$

Decimal Form:

$x = 0.90272947 \dots$