SOLUTION: Solve a) 4^(2x) = 8^(3x-4) Can you please help me out? Thanks so much in advance:)

Algebra ->  Equations -> SOLUTION: Solve a) 4^(2x) = 8^(3x-4) Can you please help me out? Thanks so much in advance:)      Log On


   

Question 878647: Solve
a) 4^(2x) = 8^(3x-4)
Can you please help me out? Thanks so much in advance:)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%282x%29+=+8%5E%283x-4%29+


%282%5E2%29%5E%282x%29+=+%282%5E3%29%5E%283x-4%29+


2%5E%282%282x%29%29+=+2%5E%283%283x-4%29%29+


2%282x%29+=+3%283x-4%29+ Since the bases are equal, this means the exponents are equal.


4x+=+9x-12+


4x-9x+=+-12+


-5x+=+-12+


x+=+-12%2F%28-5%29+


x+=+12%2F5+