Solve for x 3e^x=10 - MathMaster

$3 e^{x} = 10$

Divide each term by $3$ and simplify.

Tap for more steps…

Divide each term in $3 e^{x} = 10$ by $3$ .

$\frac{3 e^{x}}{3} = \frac{10}{3}$

Cancel the common factor of $3$ .

Tap for more steps…

Cancel the common factor.

$\frac{3 e^{x}}{3} = \frac{10}{3}$

Divide $e^{x}$ by $1$ .

$e^{x} = \frac{10}{3}$

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

$\ln (e^{x}) = \ln (\frac{10}{3})$

Expand the left side.

Tap for more steps…

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

$x \ln (e) = \ln (\frac{10}{3})$

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

$x \cdot 1 = \ln (\frac{10}{3})$

Multiply $x$ by $1$ .

$x = \ln (\frac{10}{3})$

The result can be shown in multiple forms.

Exact Form:

$x = \ln (\frac{10}{3})$

Decimal Form:

$x = 1.20397280 \dots$

Solve for x 3e^x=10

Download our
App from the store