SOLUTION: log2(x)+log8(x) = 8

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log2(x)+log8(x) = 8      Log On


   



Question 166799: log2(x)+log8(x) = 8
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log2(x)+log8(x) = 8
Convert the base:
log(x)/log(2) + log(x)/log(8) = 8
Factor out the log(x):
log(x)[1/log(2) + 1/log(8)] = 8
log(x)[4.429] = 8
log(x) = 1.806
x = 10^1.806
x = 64