Question

Solve for x.
2^x=1/16 ​

Answer 1

x = - 4

Explanation:

Using the rule of exponents

`a^(-m)` ⇔
`(1)/(a^(m) )`

note that 16 =
`2^(4)`

Then

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

Since the bases on both sides are equal, both 2, then equate exponents

x = - 4