Trigonometry Examples

$e^{x + 6} = 8$

Step 1

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

$\ln (e^{x + 6}) = \ln (8)$

Step 2

Expand the left side.

Tap for more steps...

Step 2.1

Expand $\ln (e^{x + 6})$ by moving $x + 6$ outside the logarithm.

$(x + 6) \ln (e) = \ln (8)$

Step 2.2

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

$(x + 6) \cdot 1 = \ln (8)$

Step 2.3

Multiply $x + 6$ by $1$ .

$x + 6 = \ln (8)$

Step 3

Subtract $6$ from both sides of the equation.

$x = \ln (8) - 6$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \ln (8) - 6$

Decimal Form:

$x = - 3.92055845 \dots$