SOLUTION: The directions is: Write the expression as a single logarithm. Problem #1 5logbq+2logby I know you are suppose to multiply the numbers but what about the numbers in front where

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The directions is: Write the expression as a single logarithm. Problem #1 5logbq+2logby I know you are suppose to multiply the numbers but what about the numbers in front where       Log On

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Question 89658: The directions is: Write the expression as a single logarithm.
Problem #1 5logbq+2logby
I know you are suppose to multiply the numbers but what about the numbers in front where do you multiply them?
The multiple choice answers is
A. logb(q5y2)
B. (5+2)logb(q+y)
C. logb(q5+y2)
D. logb(qy5+2)
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
5logbq+2logby
-------------
The Laws you want are logA + logB = logAB
and
logA^n = nlogA
-----------------
Your Problem:
= log(base b)(q^5) + log(base b) y^2
= log(base b)(q^5y^2)
=================
Cheers,
Stan H.