Question

If log₁₀ a = m, express the following in terms of a.

10^{m + 2}

Answer 1

Given: log₁₀ a = m

To find: Express 10^{m + 2} in terms of a.

Calculation:

Step 1: From the given relation:

log₁₀ a = m

⇒ 10^m = a

Step 2: Expand 10^{m + 2}:

10^{m + 2} = 10^m × 10²

Step 3: Substitute 10^m = a:

10^{m + 2} = a × 10²

10^{m + 2} = 100 a