Question

If 16*x=1/64, find the value of x

Answer 1

I think it is x=1/1024 not sure but try it

Answer 2

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

Explanation:

Assuming you mean

`16^(x)` =
`(1)/(64)`

note that 16 = 4² and 64 = 4³ , so

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

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

Since the bases on both sides are equal, both 4, then equate exponents

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

x = -
`(3)/(2)` ( = - 1.5 )