SOLUTION: find the solution to the exponential equation correct to four decimal equations. 5+3^(5x)=13

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: find the solution to the exponential equation correct to four decimal equations. 5+3^(5x)=13      Log On


   

Question 212118: find the solution to the exponential equation correct to four decimal equations.
5+3^(5x)=13
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5+3^(5x)=13
3^(5x)=8
5x=log(8,3)
x=(1/5)log(8,3)
log(8,3) is log 8 base 3.
log(8,3)=log(8)/log(3) in base 10.
x=(1/5)(log(8)/log(3))
or approximately
x=0.379