Question

If log₁₀ x = m, log₁₀ y = n, write xy in terms of m and n.

Answer 1

Given, log₁₀ x = m

⇒ x = 10^m

And log₁₀ y = n

⇒ y = 10ⁿ

Now multiply x and y:

xy = 10^m · 10ⁿ = 10^{m + n}

xy = 10^{m + n}