SOLUTION: If {{{log(8,5)=a}}}, then what is {{{log(5,16)}}} in term of a?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If {{{log(8,5)=a}}}, then what is {{{log(5,16)}}} in term of a?      Log On


   

Question 894608: If log%288%2C5%29=a,
then what is log%285%2C16%29 in term of a?
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C16%29
=log%285%2C2%5E4%29
=4log%285%2C2%29
=4%281%2Flog%282%2C5%29%29
=4%2Flog%282%2C5%29
=4%2Flog%282%5E3%2C5%5E3%29
=4%2Flog%288%2C5%5E3%29
=4%2F3log%288%2C5%29, where log%288%2C5%29=a
=4%2F3%28a%29
=4%2F3a