SOLUTION: Hi, Can You Please Help? Express as a single logarithm, . {{{ 1/2 }}}log{{{ a }}} b + 3 log {{{ a }}} c - 5 log {{{ a }}} d - 10 log {{{ a }}} f . Thanks ahead of time

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, Can You Please Help? Express as a single logarithm, . {{{ 1/2 }}}log{{{ a }}} b + 3 log {{{ a }}} c - 5 log {{{ a }}} d - 10 log {{{ a }}} f . Thanks ahead of time      Log On


   



Question 167293: Hi, Can You Please Help?
Express as a single logarithm,
.
++1%2F2+log+a+ b + 3 log +a+ c - 5 log +a+ d - 10 log +a+ f
.
Thanks ahead of time, Levi

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm
++1%2F2+log+a+ b + 3 log +a+ c - 5 log +a+ d - 10 log +a+ f
Since all terms are to the same base (a), assume base a.
1/2log(b) + 3 log(c) - 5 log(d) - 10log(f)
= log%28sqrt%28b%29%29+%2B+log%28c%5E3%29+%2Blog%28d%5E-5%29+%2B+log%28f%5E%28-10%29%29
= log%28sqrt%28b%29%2Ac%5E3%2F%28d%5E5%2Af%5E10%29%29