Solve for x 5 natural log of x=10

$5 \ln (x) = 10$

Divide each term by $5$ and simplify.

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Divide each term in $5 \ln (x) = 10$ by $5$ .

$\frac{5 \ln (x)}{5} = \frac{10}{5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5 \ln (x)}{5} = \frac{10}{5}$

Divide $\ln (x)$ by $1$ .

$\ln (x) = \frac{10}{5}$

Divide $10$ by $5$ .

$\ln (x) = 2$

To solve for $x$ , rewrite the equation using properties of logarithms.

$e^{\ln (x)} = e^{2}$

Exponentiation and log are inverse functions.

$x = e^{2}$

The result can be shown in multiple forms.

Exact Form:

$x = e^{2}$

Decimal Form:

$x = 7.38905609 \dots$

Solve for x 5 natural log of x=10

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