Question

Given that
`2^x` = 7, find the value of
`4^x^-^1`.

Answer 1

`(49)/(4) = 12.25`

Explanation:

`4^(x-1) =`

`= (2^2)^(x - 1)`

`= 2^(2(x - 1))`

`= 2^(2x - 2)`

`= 2^(x + x - 2)`

`= 2^x * 2^x * 2^(-2)`

`= 7 * 7 * (1)/(2^2)`

`= (49)/(4) = 12.25`