Question

`log_2  1/8 = x`,

∴ The value of x is ______.

Options

• 3

• 4

• –3

• –4

Answer 1

∴ The value of x is –3.

Explanation:

`log_2  1/8 = x`

Step 1: Express `1/8` as a power of 2:

8 = 2³

⇒ `1/8 = 2^-3`

Step 2: Substitute in the equation:

`log_2 2^(-3)` = x

Using the rule log_⁡a a^m = m,

x = −3