Trigonometry Examples

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

Step 1

Rewrite the equation as $e^{3 \ln (x)} = y$ .

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

Step 2

Solve for $x$ .

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Step 2.1

Simplify $e^{3 \ln (x)}$ .

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Step 2.1.1

Simplify $3 \ln (x)$ by moving $3$ inside the logarithm.

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

Step 2.1.2

Exponentiation and log are inverse functions.

$x^{3} = y$

Step 2.2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[3]{y}$