SOLUTION: Use the Laws of Logarithms to expand {{{ log(3, (x^5 (5sqrt(x-1))))/(8x-8) }}} and simply (the expression). (By the way, the 5 next to the square root is apart of it as the base nu

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use the Laws of Logarithms to expand {{{ log(3, (x^5 (5sqrt(x-1))))/(8x-8) }}} and simply (the expression). (By the way, the 5 next to the square root is apart of it as the base nu      Log On


   

Question 1155605: Use the Laws of Logarithms to expand +log%283%2C+%28x%5E5+%285sqrt%28x-1%29%29%29%29%2F%288x-8%29+ and simply (the expression). (By the way, the 5 next to the square root is apart of it as the base number)
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


NOTE: Use "root(5,(x-1))" to write the 5th root of (x-1).

+log%283%2C+%28x%5E5+%28root%285%2Cx-1%29%29%29%29%2F%288x-8%29+

= %28log%283%2Cx%5E5%29%2Blog%283%2Croot%285%2Cx-1%29%29%29%2F%288x-8%29

= %285log%283%2Cx%29%2B%281%2F5%29log%285%2C%28x-1%29%29%29%2F%288x-8%29

There is no "simplification" to be done, with the expression as you show it.

Perhaps the "8x-8" was supposed to be part of the logarithm; that would make the problem more interesting:

+log%283%2C+%28x%5E5+%28root%285%2Cx-1%29%29%2F%288x-8%29%29%29+

= log%283%2Cx%5E5%29%2Blog%283%2Croot%285%2Cx-1%29%29-log%283%2C%288x-8%29%29

= 5log%283%2Cx%29%2B%281%2F5%29log%283%2C%28x-1%29%29-log%283%2C8%29-log%283%2C%28x-1%29%29

= 5log%283%2Cx%29-log%283%2C8%29-%284%2F5%29log%283%2C%28x-1%29%29