SOLUTION: Rewrite the expression in terms of log a(5) expression: log a(125) the a is at the bottom of log i have no idea how to solve this problem so any help would be greatly apprecia

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite the expression in terms of log a(5) expression: log a(125) the a is at the bottom of log i have no idea how to solve this problem so any help would be greatly apprecia      Log On


   

Question 888211: Rewrite the expression in terms of log a(5)
expression: log a(125)
the a is at the bottom of log
i have no idea how to solve this problem so any help would be greatly appreciated! thank you
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the expression in terms of log a(5)
expression: log a(125)
--------
log%28a%2C125%29+=+log%28a%2C5%5E3%29+=+3log%28a%2C5%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First, you have to be able to read the expression
Remember that logs are exponents.
You are just specifying the base of the exponent
and then calling it a log
-----------------------------
+log%28+a%2C+125+%29+
It's saying " This expression is a log ( exponent )"
The base for this log is +a+
Finally, it is saying " When I raise +a+ to this
certain log, I get +125+ as a result"
-------------------------------------
To solve the problem, you need one rule:
+log%28+a%2C+b%5Ec+%29+=+c%2Alog%28+a%2C+b+%29+
---------------------------
I can say:
+log%28+a%2C+125+%29+=+log%28+a%2C+5%5E3+%29+
Using the rule:
+log%28+a%2C+5%5E3+%29+=+3%2Alog%28+a%2C+5+%29+
------------------------------
Hope this helps. You really need a grounding
in the basics of logs to get anywhere with
this stuff. Anything you don't completely
understand will come back and bite you
sooner or later. Good luck.