SOLUTION: Rewrite as a single logarithm {{{log(d,(3x))+log(d,(4y))}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Rewrite as a single logarithm {{{log(d,(3x))+log(d,(4y))}}}       Log On


   



Question 130655: Rewrite as a single logarithm


log%28d%2C%283x%29%29%2Blog%28d%2C%284y%29%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28d%2C%283x%29%29%2Blog%28d%2C%284y%29%29 Start with the given expression


log%28d%2C%28%283x%29%2A%284y%29%29%29 Combine the logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


log%28d%2C%2812xy%29%29 Multiply