Question

`log_sqrt(5) (x + 3) = 2`

∴ The value of x is ______.

Options

• 1

• 2

• –1

• 4

Answer 1

∴ The value of x is 2.

Explanation:

`log_sqrt(5)(x + 3) = 2`

Step 1: Convert to exponential form:

`(sqrt(5))^2 = x + 3`

Step 2: Simplify:

`(sqrt(5))^2 = 5`

5 = x + 3

Step 3: Solve for x:

x = 5 – 3

x = 2