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

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Question 1179267: Find y in terms of x when 2logarithm of y to base 3 - 4 = 3logarithm of (x+2) to base 3
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


2log%283%2Cy%29+=+log%283%2Cy%5E2%29

3log%283%2Cx%2B2%29+=+log%283%2C%28x%2B2%29%5E3%29

So the equation is

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

Write the "4" as log%283%2C3%5E4%29

Then

log%283%2Cy%5E2%29-log%283%2C3%5E4%29=log%283%2C%28x%2B2%29%5E3%29

Now use rules of logarithms to write the expression on the left as a single logarithm. The equation is now of the form log%283%2CA%29=log%283%2CB%29, which means A=B.

You should be able to finish from there.