SOLUTION: Use properties of logarithms to expand the logarithmic expression as much as possible. LOG (16/ √(x-1)) ___2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use properties of logarithms to expand the logarithmic expression as much as possible. LOG (16/ √(x-1)) ___2      Log On


   

Question 153135: Use properties of logarithms to expand the logarithmic expression as much as possible.
LOG (16/ √(x-1))
___2
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Note that 16%2Fsqrt%28x-1%29=16%28x-1%29%5E%28-1%2F2%29
So
log%2816%2Fsqrt%28x-1%29%29
=log%2816%28x-1%29%5E%28-1%2F2%29%29
=log%2816%29%2Blog%28%28x-1%29%5E%28-1%2F2%29%29
=log%2816%29-%281%2F2%29log%28%28x-1%29%29