Precalculus Examples

$7^{3 x - 1} = 5$

Step 1

Reduce by cancelling the common factors.

$7^{3 x - 1} = 5$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(7)$ of the right side $(5)$ equals the exponent $(3 x - 1)$ .

$\log_{7} (5) = 3 x - 1$