SOLUTION: Solve for x: log15^x = (2/3)log15^8

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Question 66993This question is from textbook Advanced mathematics
: Solve for x:
log15^x = (2/3)log15^8 This question is from textbook Advanced mathematics

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
log%2815%5Ex%29+=+%282%2F3%29log%2815%5E8%29 Apply the power rule for logarithms.log%28%28a%5En%29%29+=+n%2Alog%28%28a%29%29
x%2Alog%28%2815%29%29+=+%288%29%282%2F3%29log%28%2815%29%29 Divide both sides by log(15)
x+=+%288%29%282%2F3%29
x+=+16%2F3
x+=+5.33