SOLUTION: Please help me solve for x: 4^5x-1=2^4-x

Algebra ->  Exponents -> SOLUTION: Please help me solve for x: 4^5x-1=2^4-x      Log On


   

Question 736411: Please help me solve for x: 4^5x-1=2^4-x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the problem is
4%5E%28%285x-1%29%29 = 2%5E%28%284-x%29%29
4 can be written as 2^2, therefore we have
2%5E%282%285x-1%29%29 = 2%5E%28%284-x%29%29
therefore
2(5x-1) = 4 - x
10x - 2 = 4 - x
10 + x = 4 + 2
11x = 6
x = 6%2F11
:
:
Check this on a calc; 6/11 ~ .545
:
4^(5(.545)-1) ~ 10.93
2^(4-.545) ~ 10.97