Log

_{3}(5+X)I was wondering because Log

_{3}(5*X) would be expanded to Log_{3}5 + Log_{3}XSome kind of explanation would be awesome, and thank you in advance!!

Log_{3}(5+X)

I was wondering because Log_{3}(5*X) would be expanded to Log_{3}5 + Log_{3}X

Some kind of explanation would be awesome, and thank you in advance!!

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Woodland Hills, CA

The basic notion of log function is

Y =a^{X}

X = Log_{a}Y

So in case of

Log_{3} (5 +x) =y

(5 + X) = 3^{Y}

Log ( 5 X ) = log 5 + log X

However:

Log ( A + B ) ≠ Log A + Log B

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