Solve for x 4-3 natural log of x=-8

$4 - 3 \ln (x) = - 8$

Move all terms not containing $\ln (x)$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- 3 \ln (x) = - 8 - 4$

Subtract $4$ from $- 8$ .

$- 3 \ln (x) = - 12$

Divide each term in $- 3 \ln (x) = - 12$ by $- 3$ and simplify.

Divide each term in $- 3 \ln (x) = - 12$ by $- 3$ .

$\frac{- 3 \ln (x)}{- 3} = \frac{- 12}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 \ln (x)}{- 3} = \frac{- 12}{- 3}$

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

$\ln (x) = \frac{- 12}{- 3}$

Simplify the right side.

Divide $- 12$ by $- 3$ .

$\ln (x) = 4$

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

$e^{\ln (x)} = e^{4}$

Rewrite $\ln (x) = 4$ 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 $b^{y} = x$ .

$e^{4} = x$

Rewrite the equation as $x = e^{4}$ .

$x = e^{4}$

The result can be shown in multiple forms.

Exact Form:

$x = e^{4}$

Decimal Form:

$x = 54.59815003 \dots$

Solve for x 4-3 natural log of x=-8

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