SOLUTION: use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)] Thank you in advance, I'M really having

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)] Thank you in advance, I'M really having       Log On


   

Question 387362: use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)]
Thank you in advance, I'M really having a hard time understanding...
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)]
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= log3[9*sqrt(x-5)] - log3[(x-1)^5]
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= log3[9) + log3(x-5) - 5log3(x-1)
========================================
cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
use the properties of logarithms to elimate products, quotients and exponents from the following expression: log3[9 sqrt(x-5)/(x-1)^(5)]
-----------------------
log3[9 sqrt(x-5)/(x-1)^(5)]
= 2 + (1/2)log(x-5) - 5log(x-1)
or
= 2 + log(sqrt(x-5)) - 5log(x-1)
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The middle term has to be either with the 1/2 coefficient, or the sq root.
All logs base 3.