SOLUTION: Express irrational solutions in exact form as a decimal rounded to 3 decimal places. log2(3x+2)- log4 X=3

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Question 240279: Express irrational solutions in exact form as a decimal rounded to 3 decimal places.
log2(3x+2)- log4 X=3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log2(3x+2)- log4 X=3
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log%282%2C%283x%2B2%29%29-+log%284%2Cx%29+=+3
log%282%2C%283x%2B2%29%29-+log%282%2C2x%29+=+3
log%282%2C%283x%2B2%29%2F2x%29+=+3
(3x+2)/2x = 8
3x+2 = 16x
x = 2/13