Exponential Equations
Solve for x:
[tex]13=25(1.2)^x[/tex]Dividing by 25:
[tex]\frac{13}{25}=1.2^x[/tex]Applying logs on both sides of the equation:
[tex]log\frac{13}{25}=log1.2^x[/tex]Applying the power property of logarithms:
[tex]log\frac{13}{25}=xlog1.2[/tex]Dividing by log 1.2:
[tex]x=\frac{log\frac{13}{25}}{log1.2}[/tex]Calculating:
x = -3.587
