SOLUTION: Solve the exponential equation. 1/16= 64^4x – 3 (4x-3 is the entire exponent) Thank-you!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the exponential equation. 1/16= 64^4x – 3 (4x-3 is the entire exponent) Thank-you!      Log On


   

Question 686858: Solve the exponential equation.
1/16= 64^4x – 3 (4x-3 is the entire exponent)
Thank-you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F16+=+64%5E%284x-3%29

1%2F%284%5E2%29+=+%284%5E3%29%5E%284x-3%29

4%5E%28-2%29+=+%284%5E3%29%5E%284x-3%29

4%5E%28-2%29+=+4%5E%283%284x-3%29%29

Since the bases are equal (to 4), the exponents must be equal to each other.

-2+=+3%284x-3%29

-2+=+12x-9

-2%2B9+=+12x

7+=+12x

7%2F12+=+x

x+=+7%2F12

So the answer is x+=+7%2F12