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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-example-1
User Vartika
by
5.4k points

1 Answer

5 votes
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
User Marekb
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5.3k points