Algebra Examples

$428^{- x} = 37.5$

Step 1

Reduce by cancelling the common factors.

$428^{- x} = 37.5$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(428)$ of the right side $(37.5)$ equals the exponent $(- x)$ .

$\log_{428} (37.5) = - x$