Question

If log 125 + log 8 = x then the value of x is ______.

Options

• 1000

• `125/8`

• 3

• `1/3`

Answer 1

If log 125 + log 8 = x then the value of x is 3.

Explanation:

We are given:

log 125 + log 8 = x

Step 1: Use the logarithmic property

Using the property log a + log b = log(ab), we have:

log 125 + log 8 = log(125 × 8)

Step 2: Calculate 125 × 8

125 × 8 = 1000

So:

log 125 + log 8 = log 1000

Step 3: Simplify

log 1000 = 3 (since 1000 = 10³ and log 1000 = 3)