SOLUTION: Express the expression log2x^3z/y^2 in terms of logarithm of x, y, and z.

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Question 59601: Express the expression log2x^3z/y^2 in terms of logarithm of x, y, and z.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure whether you meant 2 to be the base of the log or the coefficient of x. I'm going to solve this as a common log with 2 as the coeffiecient of x. If you want it to be the base just make 2 the base of all the logs and remove it as the coefficient of x.
:
Express the expression log%282x%5E3z%2Fy%5E2%29 in terms of logarithm of x, y, and z.
:
Rules I'm using:
1. highlight%28log%28a%2Ab%29=log%28a%29%2Blog%28b%29%29
2. highlight%28log%28a%2Fb%29=log%28a%29-log%28b%29%29
3. highlight%28loga%5Em=mlog%28a%29%29
:
log%282x%5E3%29%2Blog%28z%29-log%28y%5E2%29 rule 1&2. This might be all you need
3log%282x%29%2Blog%28z%29-2log%28y%29 rule 3
Happy Calculating!!!