Precalculus Examples

$e^{x} > 43$

Step 1

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

$\ln (e^{x}) > \ln (43)$

Step 2

Expand the left side.

Tap for more steps...

Step 2.1

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

$x \ln (e) > \ln (43)$

Step 2.2

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

$x \cdot 1 > \ln (43)$

Step 2.3

Multiply $x$ by $1$ .

$x > \ln (43)$

Step 3

Convert the inequality to interval notation.

$(\ln (43), \infty)$

Step 4