SOLUTION: I have no idea of what to do with this problem. I tried mult both sides by 4 and also tried to get rid of the exponent. Please help! 4^(5-3x)=1/256 Thank you so much.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I have no idea of what to do with this problem. I tried mult both sides by 4 and also tried to get rid of the exponent. Please help! 4^(5-3x)=1/256 Thank you so much.      Log On


   

Question 46800: I have no idea of what to do with this problem. I tried mult both sides by 4 and also tried to get rid of the exponent. Please help!
4^(5-3x)=1/256
Thank you so much.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%284%5E%285-3x%29%29=1%2F256%29
%284%5E%285-3x%29%29=%281%2F4%5E4%29%29
%284%5E%285-3x%29%29=%284%5E-4%29%29
%284%5E%285-3x%2B4%29%29=%284%5E%28-4%2B4%29%29
%284%5E%289-3x%29%29=%284%5E0%29%29
%284%5E%289-3x%29%29=1%29
.
.
Working within the exponent:
Solve 9-3x=0
-3x=-9
x=3
.
.
Plug-in (x=3) back into the original equation and solve:
%284%5E%285-3x%29%29=1%2F256%29
%284%5E%285-%283%29%283%29%29%29=1%2F256%29
%284%5E%285-9%29%29=+4%5E-4%29
%284%5E%28-4%29%29=+%284%5E-4%29[Checks out]