SOLUTION: Write the expression as a single logarithm. {{{(1/4)log(4, (y)) + 2log(4, (z)) - log(4, (w))}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the expression as a single logarithm. {{{(1/4)log(4, (y)) + 2log(4, (z)) - log(4, (w))}}}      Log On


   

Question 985846: Write the expression as a single logarithm.
%281%2F4%29log%284%2C+%28y%29%29+%2B+2log%284%2C+%28z%29%29+-+log%284%2C+%28w%29%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
expr%281%2F4%29log%284%2C+%28y%29%29+%2B+2log%284%2C+%28z%29%29+-+log%284%2C+%28w%29%29

Move the coeficients of the logs as exponents of what the logs are 
taken of. 



Write the sum of the the first two logs as the log of the product
of what the logs are taken of.




Write the difference of the the two logs as the log of the quotient
of what the logs are taken of.




Write the 1/4th power as a fourth root:



Edwin