Precalculus Examples

$8^{4 x - 1} = 512$

Step 1

Reduce by cancelling the common factors.

$8^{4 x - 1} = 512$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(8)$ of the right side $(512)$ equals the exponent $(4 x - 1)$ .

$\log_{8} (512) = 4 x - 1$