SOLUTION: Solve the exponential equation 3^5x = 9^x+6 using common logarithms. Sorry, 5x and x+6 are exponents, but I can't figure out how to put that in function form.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the exponential equation 3^5x = 9^x+6 using common logarithms. Sorry, 5x and x+6 are exponents, but I can't figure out how to put that in function form.       Log On


   

Question 609192: Solve the exponential equation 3^5x = 9^x+6 using common logarithms.
Sorry, 5x and x+6 are exponents, but I can't figure out how to put that in function form.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

3%5E%285x%29+=+9%5E%28x%2B6%29

3%5E%285x%29+=+%283%5E2%29%5E%28x%2B6%29=+3%5E%282%28x%2B6%29%29

    5x = 2(x+6)

    3x = 12

     x = 4