Question

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

Answer 1

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 = (\log(27/8))/(\log(2/3))}`

`x = (\log( (3/2)^3))/(\log(2/3))}`

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

`x = (-3 \log(2/3))/(\log(2/3))}`

`x = -3`

Answer: -3