SOLUTION: Write in terms of simpler logarithmic form {{{log( b, (u^3*v^4/sqrt(w)) ) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write in terms of simpler logarithmic form {{{log( b, (u^3*v^4/sqrt(w)) ) }}}      Log On


   

Question 4555: Write in terms of simpler logarithmic form

log%28+b%2C+%28u%5E3%2Av%5E4%2Fsqrt%28w%29%29+%29+
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
You need to use two facts:
1) log%28+b%2C+x%2Ay+%29+=+log%28+b%2C+x+%29+%2B+log%28+b%2C+y+%29
log%28+b%2C+x%2Fy+%29+=+log%28+b%2C+x+%29+-+log%28+b%2C+y+%29
2) log%28+b%2C+c%5Ed+%29+=+d%2Alog%28+b%2C+c+%29
with that in mind