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Answer 1

x = 3

Explanation:

using the rule of exponents

`4^(x)` =
`((1)/(2)) ^(x-9)`

`(2^2)^(x)` =
`(2^(-1)) ^(x-9)`

`2^(2x)` =
`2^(-1(x-9))` =
`2^(9-x)`

suince the bases on both sides are equal, then equate the exponents

2x = 9 - x ( add x to both sides )

3x = 9 ( divide both sides by 3 )

x = 3