Question

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

10^3m

Answer 1

Given: log₁₀ a = m

To find: Express 10^3m in terms of a.

Calculation:

Step 1: From the given relation:

log₁₀ a = m

⇒ a = 10^m

Step 2: Raise both sides to the power of 3:

⇒ a³ = (10^m)³

⇒ a³ = 10^3m