SOLUTION: Find y in terms of x when 2log of y to base 3 - 4 = 3log of (x+2) to base 3

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Question 1179279: Find y in terms of x when 2log of y to base 3 - 4 = 3log of (x+2) to base 3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find y+in terms of x when

2log%283%2Cy%29+-+4+=+3log%283%2C%28x%2B2%29%29

log%283%2Cy%5E2%29+-+4+=+log%283%2C%28x%2B2%29%5E3%29

log%283%2Cy%5E2%29+-++log%283%2C%28x%2B2%29%5E3%29=4+

log%283%2C%28y%5E2%2F%28x%2B2%29%5E3%29%29=4 ............convert to base 10

log%28%28y%5E2%2F%28x%2B2%29%5E3%29%29%2Flog%283%29=4+

log%28%28y%5E2%2F%28x%2B2%29%5E3%29%29=4log%283%29+

log%28%28y%5E2%2F%28x%2B2%29%5E3%29%29=log%283%5E4%29 ............if log same, then

y%5E2%2F%28x%2B2%29%5E3=3%5E4

y%5E2=81%28x%2B2%29%5E3

y=sqrt%2881%28x%2B2%29%5E3%29

y=9%28x%2B2%29sqrt%28x%2B2%29