SOLUTION: Please help me with this problem! log5 16-log5 2t=log5 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me with this problem! log5 16-log5 2t=log5 2      Log On


   

Question 78593: Please help me with this problem!
log5 16-log5 2t=log5 2
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
log5+%2816%29-log5+%282t%29=log5+%282%29
Recognize that the left side can be re-written according to an algebraic
property of logarithms:
log5+%2816%2F2t%29=log5+%282%29
This now allows you to rewrite the equation with each side being the
exponent of 5 without changing the value of the equation:
5%5E%28log5+%2816%2F2t%29%29=5%5E%28log5+%282%29%29
This form now allows you to use one of the inverse properties
of logarithms to re-write the equation as follows:
16%2F2t=2
Then just solve for t:
16=4t
t=4