SOLUTION: Solve the equation to the nearest thousandth: log_2x+log_4x=5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation to the nearest thousandth: log_2x+log_4x=5       Log On


   

Question 174794: Solve the equation to the nearest thousandth:
log_2x+log_4x=5

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation to the nearest thousandth:
log_2x+log_4x=5
--------------
If you mean:
log%282%2Cx%29+%2B+log%284%2Cx%29+=+5
then
log%284%2Cx%5E2%29+%2B+log%284%2Cx%29+=+5
log%284%2Cx%5E3%29+=+5
x%5E3+=+4%5E5
x%5E3+=+1024
x = 10.079