Solving Exponential Equations
Solve the Exponential Equation 15.7(1.178)x=170\displaystyle {15.7}{\left({1.178}\right)}^{{x}}={170} by following the steps below.

Note: You must give each answer written as an equation.
15.7(1.178)x=170\displaystyle {15.7}{\left({1.178}\right)}^{{x}}={170}Original Problem Statement

 
ISOLATE the exponential part of the equation
Change the equation to LOGARITHMIC form
ISOLATE the variable
Determine your Final Results in Exact Form

 
Use the Exact Form to find the final result rounded to three decimal places. You may need to use Change of Base here to compute your logarithm.
CHECK your result by using the graphing (intersection) method to solve the original problem