Precalculus Examples

$0.5 = 2^{- 0.04 t}$

Step 1

Reduce by cancelling the common factors.

$0.5 = 2^{- 0.04 t}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(2)$ of the left side $(0.5)$ equals the exponent $(- 0.04 t)$ .

$\log_{2} (0.5) = - 0.04 t$