SOLUTION: 3(2^x-4)=5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3(2^x-4)=5      Log On


   

Question 435812: 3(2^x-4)=5
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
3%282%5Ex-4%29=5
Simplifying gives:
2%5Ex+-+4+=+5%2F3+-%3E+2%5Ex+=+17%2F3
Take the logarithm of both sides:
x*log(2) = log(17/3)
Solve for x:
x = log(17/3)/log(2), or , x = 2.503