SOLUTION: solve log3(x^3)=15

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Question 942533: solve log3(x^3)=15
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%283%2Cx%5E3%29=15....change the base

log%28%28x%5E3%29%29%2Flog%28%283%29%29=15

log%28%28x%5E3%29%29=15log%28%283%29%29

3log%28%28x%29%29=15log%28%283%29%29

log%28%28x%29%29=5log%28%283%29%29

log%28%28x%29%29=log%28%283%5E5%29%29 ...if log same, then

x=3%5E5

x=243