SOLUTION: I dont underdtand this question at all. It says write as a single logarithm. 2log x-log y+log z-3log w??

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Question 21169: I dont underdtand this question at all. It says write as a single logarithm.
2log x-log y+log z-3log w??

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
It says write as a single logarithm.
2log x-log y+log z-3log w??
USE THE FORMULAE
LOG XY=LOG X+LOG Y
LOG X/Y=LOG X-LOG Y
LOG X^N=N*LOG X
HENCE ....2LOG X=LG X^2
AND......3LOG W=LOG W^3
SUBSTITUTING ABOVE
2log x-log y+log z-3log w = LOG X^2-LOG Y+LOG Z-LOG W^3
=LOG (X^2*Z)/(Y*W^3)

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