SOLUTION: Please help me solve this equation: 2log(base4)x+3log(base8)x=10

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Question 585733: Please help me solve this equation:
2log(base4)x+3log(base8)x=10

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation:
2log(base4)x+3log(base8)x=10
convert to log base2 using change of base formula: log(new base)(x)/log(new base)(old base)
2log2(x)/log2(4)+3log2(x)/log2(8)=10
log2(4)=2
log2(8)=3
2log2(x)/2+3log2(x)/3=10
LCD=6
6log2(x)+6log2(x)=60
12log2(x)=60
log2(x)=60/12=5
x=2^5=32