SOLUTION: please solve for x 5^(4x)=125^(x+2)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: please solve for x 5^(4x)=125^(x+2)      Log On


   

Question 472846: please solve for x
5^(4x)=125^(x+2)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

5^(4x)=125^(x+2)

5^(4x)=((5)^3)^(x+2)

5^(4x)= (5)^3(x+2)

  4x = 3(x+2)

   x = 6



a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29 ****

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29