SOLUTION: Oh this logarithm problems are killing me :) Can you help! Write hte logarithm of a single expression: log[b]6x+4(log[b]x-log[b]y) (A) log[b] 6x^5/y^4 (B) log [b] 24x^2/y

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Question 31666: Oh this logarithm problems are killing me :)
Can you help! Write hte logarithm of a single expression:
log[b]6x+4(log[b]x-log[b]y)
(A) log[b] 6x^5/y^4
(B) log [b] 24x^2/y
(C) log [b] 10x/4y
(D) none of these.
Do we even consider the "B" in this expression?

Answer by mukhopadhyay(490)   (Show Source): You can put this solution on YOUR website!
log[b]6x+4(log[b]x-log[b]y)
= log[b]6x + 4log[b]x - 4log[b]y
= log[b]6x + log[b]x^4 - log[b]y^4
= log[b](6x*x^4/y^4)
= log[b](6x^5/y^4)
The correct option for the answer is A. When you send "Thank You" message, would you please indicate the grade level that covers such type of logarithmic problems? Thanks

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