Precalculus Examples

${(\frac{3}{2})}^{x} = (\frac{27}{8})$

Step 1

Reduce by cancelling the common factors.

${(\frac{3}{2})}^{x} = \frac{27}{8}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{3}{2})$ of the right side $(\frac{27}{8})$ equals the exponent $(x)$ .

$\log_{\frac{3}{2}} (\frac{27}{8}) = x$