Question

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

Answer 1

Given, log₁₀ x = m

⇒ x = 10^m

And log₁₀ y = n

⇒ y = 10ⁿ

Now divide x by y:

`x/y = 10^m/10^n`

`x/y = 10^(m - n)`