Solve for x e^x=6 - MathMaster

$e^{x} = 6$

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (e^{x}) = \ln (6)$

Expand the left side.

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Expand $\ln (e^{x})$ by moving $x$ outside the logarithm.

$x \ln (e) = \ln (6)$

The natural logarithm of $e$ is $1$ .

$x \cdot 1 = \ln (6)$

Multiply $x$ by $1$ .

$x = \ln (6)$

The result can be shown in multiple forms.

Exact Form:

$x = \ln (6)$

Decimal Form:

$x = 1.79175946 \dots$

Solve for x e^x=6

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