Precalculus Examples

$27 = 2^{3 x - 1}$

Step 1

Reduce by cancelling the common factors.

$27 = 2^{3 x - 1}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(2)$ of the left side $(27)$ equals the exponent $(3 x - 1)$ .

$\log_{2} (27) = 3 x - 1$