SOLUTION: Solve: 4^(x+1) = 8^(2x-3)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve: 4^(x+1) = 8^(2x-3)      Log On


   

Question 891133: Solve:
4^(x+1) = 8^(2x-3)
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%28x%2B1%29%22%22=%22%228%5E%282x-3%29

Write 4 as %282%5E2%29 and 8 as %282%5E3%29

%282%5E2%29%5E%28x%2B1%29%22%22=%22%22%282%5E3%29%5E%282x-3%29

Multiply exponents:

2%5E%282x%2B2%29%22%22=%22%222%5E%286x-9%29

Equate the exponents of 2

2x%2B2%22%22=%22%226x-9

-4x%22%22=%22%22-11

%28-4x%29%2F%28-4%29%22%22=%22%22%28-11%29%2F%28-4%29

x%22%22=%22%2211%2F4

Edwin