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Yuliya22 [10]
3 years ago
13

(2/3)^x=3.375. Solve for x

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

I'll write log, you can use any base logs you like.

(2/3)^x = 3.375=27/8

x \log(2/3) = \log(27/8)

x = \dfrac{\log(27/8)}{\log(2/3)}}

x = \dfrac{\log( (3/2)^3)}{\log(2/3)}}

x = \dfrac{\log( (2/3)^{-3})}{\log(2/3)}}

x = \dfrac{-3 \log(2/3)}{\log(2/3)}}

x = -3

Answer: -3

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