SOLUTION: Solve: 2 * log--base4 (x) + 3 * log--base8 (x)=10

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Question 481624: Solve:
2 * log--base4 (x) + 3 * log--base8 (x)=10
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
2 * log--base4 (x) + 3 * log--base8 (x)=10
**
2log4(x)+3log8(x)=10
Change to base 10
2log(x)/log4+3log(x)/log8=10
log(x)((2/log4)+(3/log8))=10
log(x)(3.3219+3.3219)=10
log(x)(6.6439)=10
log(x)=10/6.6439=1.5051
x=31.9963=32