Asked by Eric
Simplify
(Log75+log9+log5)÷(log5+log45)
(Log75+log9+log5)÷(log5+log45)
Answers
Answered by
Reiny
(Log75+log9+log5)÷(log5+log45)
= log(75*9*5) / log(5*45)
= log 3375 / log 225
= log(25*9*15) / log(25*9)
= log(5^2 * 3^2 * 15)/log(5^2 * 3^2)
= log( 15^2 * 15) / log (15^2)
= (log 15^2 + log 15)/ log 15^2
= (2log15 + log15)/(2log15)
= 3log15/(2log15)
= 3/2
I think I could probably shorten this up a bit.
= log(75*9*5) / log(5*45)
= log 3375 / log 225
= log(25*9*15) / log(25*9)
= log(5^2 * 3^2 * 15)/log(5^2 * 3^2)
= log( 15^2 * 15) / log (15^2)
= (log 15^2 + log 15)/ log 15^2
= (2log15 + log15)/(2log15)
= 3log15/(2log15)
= 3/2
I think I could probably shorten this up a bit.
Answered by
Olagunju Audrey
1.5
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