SOLUTION: write out as sums and differences: log base 5 (125x^5y^7/ cuberoot z^5) Simplify as much as possible.. I came up with log base 5 125 (possibly 3??) +log base 5 x^5 + 7 log

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Question 34529: write out as sums and differences:
log base 5 (125x^5y^7/ cuberoot z^5) Simplify as much as possible..
I came up with log base 5 125 (possibly 3??) +log base 5 x^5 + 7 log base 5 y - 5 log base 5 z ^ 1/3..
All help is greatly appreciated
Answer by Prithwis(166) (Show Source):
You can put this solution on YOUR website!
log base 5 [125x^5y^7/ cuberoot z^5]
= log base 5 [125x^5y^7] - log base 5 [cuberoot z^5]
= log base 5 [125] + log base 5 [x^5] + log base 5 [y^7] - log base 5 [z^(5/3)]
= log base 5 [5^3] + log base 5 [x^5] + log base 5 [y^7] - log base 5 [z^(5/3)]
= 3 log base 5 [5] + 5 log base 5 [x] + 7 log base 5 [y] - (5/3) log base 5 [z]
= 3 + 5 log base 5 [x] + 7 log base 5 [y] - (5/3) log base 5 [z]