SOLUTION: log (A)5 = 5 log (A) How do you prove this by not plugging in numbers or by using the following log property: log An = n log A.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log (A)5 = 5 log (A) How do you prove this by not plugging in numbers or by using the following log property: log An = n log A.      Log On


   

Question 1038875: log (A)5 = 5 log (A)
How do you prove this by not plugging in numbers or by using the following log property: log An = n log A.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Here is one way to do it

log%28%28A%5E5%29%29=log%28%28A%2AA%2AA%2AA%2AA%29%29 There are 5 copies of "A" on the right side

Use Rule 1



log%28%28A%5E5%29%29=%281%2B1%2B1%2B1%2B1%29%2Alog%28%28A%29%29

log%28%28A%5E5%29%29=%285%29%2Alog%28%28A%29%29

log%28%28A%5E5%29%29=5%2Alog%28%28A%29%29