Precalculus Examples

${(0.9)}^{t} = \frac{1}{2}$

Step 1

Reduce by cancelling the common factors.

${(0.9)}^{t} = \frac{1}{2}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(0.9)$ of the right side $(\frac{1}{2})$ equals the exponent $(t)$ .

$\log_{0.9} (\frac{1}{2}) = t$