Question

If 16^x = 1/64 find the value of x.​

Answer 1

x = -
`(3)/(2)`

Explanation:

`16^(x)` =
`(1)/(64)` , that is

`(4^2)^(x)` =
`(1)/(4^3)`

`4^(2x)` =
`4^(-3)`

since bases on both sides are equal , both 4 then equate exponents

2x = - 3 ( divide both sides by 2 )

x = -
`(3)/(2)`