SOLUTION: Solve the equation. Show all work. Please help. log(base 64)x+log(base 8)x+log(base 2)x=9

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation. Show all work. Please help. log(base 64)x+log(base 8)x+log(base 2)x=9      Log On


   

Question 638699: Solve the equation. Show all work. Please help. log(base 64)x+log(base 8)x+log(base 2)x=9
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log(base 64)x+log(base 8)x+log(base 2)x=9
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log%2864%2Cx%29+%2B+log%288%2Cx%29+%2B+log%282%2Cx%29+=+9
64 = 2^6 --> log%2864%2Cx%29+=+6log%282%2Cx%29
6log%282%2Cx%29+%2B+3log%282%2Cx%29+%2B+log%282%2Cx%29+=+9
10log%282%2Cx%29+=+9
log%282%2Cx%29+=+0.9
x+=+2%5E0.9
x =~ 1.866066