SOLUTION: Use like bases to solve the exponential equation. 27 · 3^7x = 9 *My previous answer was incorrect, which was -0.142857. Can someone help me solve the equation. Thanks.*

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use like bases to solve the exponential equation. 27 · 3^7x = 9 *My previous answer was incorrect, which was -0.142857. Can someone help me solve the equation. Thanks.*      Log On


   



Question 1129080: Use like bases to solve the exponential equation.

27 · 3^7x = 9
*My previous answer was incorrect, which was -0.142857. Can someone help me solve the equation. Thanks.*

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


You are asked, when you submit a question, to show any work you have done to try to solve the problem. That way, we can help you see what you did wrong. That is a lot more helpful to you than just having us show you how to do the problem.

I'll set up the problem for you; you can finish solving it and compare it to the work you did earlier to try to see your error....

27+%2A+3%5E%287x%29+=+9

Put everything in powers of 3:

%283%5E3%29%2A%283%5E%287x%29%29+=+%283%5E2%29
3%5E%283%2B7x%29+=+3%5E2

The bases are the same; so the exponents are equal. Solve the equation that says the powers of 3 on the two sides of the equation are equal.