Solving Logarithmic Equations
Solve the Logarithmic Equation 3log4(x+6)=6\displaystyle {3}{{\log}_{{4}}{\left({x}+{6}\right)}}={6} by following the steps below.

Note: You must give each answer written as an equation.
3log4(x+6)=6\displaystyle {3}{{\log}_{{4}}{\left({x}+{6}\right)}}={6}Original Problem Statement

 
ISOLATE the logarithmic part of the equation

 
Change the equation to EXPONENTIAL form
ISOLATE the variable
CHECK your result if possible

 
Final Results in Exact Form