Question

Pls help w this question

Answer 1

f(x) = -2x + 1

Explanation:

The given expression is
`(64^x)/(4^(5x-1))`

By solving the given expression further,

`(64^x)/(4^(5x-1))` =
`([(4)^(3)]^x)/((4)^(5x-1))` [Since 64 = 4³]

=
`(4^(3x))/(4^(5x-1))`

=
`4^(3x)* 4^(-(5x-1))` [Since
`(1)/(a)=a^(-1)`]

=
`4^(3x-5x+1)` [Since
`a^x* a^y=a^((x+y))`]

=
`4^((-2x+1))`

By comparing the result with
`4^{\text{f(x)}}`

f(x) = -2x + 1

Therefore, f(x) = (-2x + 1) will be the answer.