SOLUTION: I am having trouble figuring out this problem. I know i should use the same base in all but do not know where each number should go, please help.
3( logb m-3logb n)
Question 6721: I am having trouble figuring out this problem. I know i should use the same base in all but do not know where each number should go, please help.
3( logb m-3logb n) Answer by Mike(39) (Show Source):
You can put this solution on YOUR website! I assume that by the way you have written your question, both logs have base 'b'?!
In that case:
1)
2)
3) 3(log(b)m/(n^3)
4) log(b)(m/n^3)^3 <---- your answer.
In answering these types of questions, it is crucial that you know your 3 laws of logs.
Law 1:
log(x) + log(y) = log(xy)
Law 2:
log(x) - log(y) = log(x/y)
Law 3:
nlog(x) = log(x^n)
When the base of a log is not written, it usually implies that the base is 10. These laws only apply when the logs have the same base.
Hope that helps.
Regards,
-Mike
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