Precalculus Examples

$4^{3 x} = \frac{1}{16}$

Step 1

Reduce by cancelling the common factors.

$4^{3 x} = \frac{1}{16}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(4)$ of the right side $(\frac{1}{16})$ equals the exponent $(3 x)$ .

$\log_{4} (\frac{1}{16}) = 3 x$