sanjuan2016p6y7ob sanjuan2016p6y7ob

23-05-2018
Mathematics

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help i need the answer idk what or how to do this

help i need the answer idk what or how to do this class=

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altavistard altavistard

23-05-2018

14^(7x) = 17^(-8-x)

Take the log of both sides:

7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.

Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17

Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17

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