Question

If log 7 = x then log 700 = ______.

Options

• 100 x

• 100 + x

• `x/100`

• x + 2

Answer 1

If log 7 = x then log 700 = x + 2.

Explanation:

We are given:

log 7 = x

We need to find:

log 700

Step 1: Express 700 as a product

700 = 7 × 100

Step 2: Apply the logarithmic property

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

log 700 = log(7 × 100) = log 7 + log 100

Now, substitute log 7 = x and log 100 = 2 (since log 100 = log 10² = 2):

log 700 = x + 2