Precalculus Examples

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

Step 1

Simplify.

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Step 1.1

Multiply each term in $y = \frac{3 e}{x^{10}}$ by $3 e$ .

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

Step 1.2

Move $3$ to the left of $y$ .

$3 y e$

Step 1.3

Reduce by cancelling the common factors.

$3 y e = x^{10}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(x)$ of the left side $(3 y e)$ equals the exponent $(10)$ .

$\log_{x} (3 y e) = 10$