Finite Math Examples

$e^{5 \ln (2)} = x$

Step 1

Rewrite the equation as $x = e^{5 \ln (2)}$ .

$x = e^{5 \ln (2)}$

Step 2

Simplify $e^{5 \ln (2)}$ .

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Step 2.1

Simplify $5 \ln (2)$ by moving $5$ inside the logarithm.

$x = e^{\ln (2^{5})}$

Step 2.2

Exponentiation and log are inverse functions.

$x = 2^{5}$

Step 2.3

Raise $2$ to the power of $5$ .

$x = 32$