Solve for x natural log of x-5=3

$\ln (x - 5) = 3$

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

$e^{\ln (x - 5)} = e^{3}$

Rewrite $\ln (x - 5) = 3$ 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 $b^{y} = x$ .

$e^{3} = x - 5$

Solve for $x$ .

Rewrite the equation as $x - 5 = e^{3}$ .

$x - 5 = e^{3}$

Add $5$ to both sides of the equation.

$x = e^{3} + 5$

The result can be shown in multiple forms.

Exact Form:

$x = e^{3} + 5$

Decimal Form:

$x = 25.08553692 \dots$

Solve for x natural log of x-5=3

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