Question

Find the value of `log_(1/10) 100`.

Answer 1

To find the value of `log_(1/10) 100`, determine the exponent to which `1/10` must be raised to get 100.

Let `log_(1/10) 100 = x`

⇒ `(1/10)^x = 100`

Now simplify:

10^–x = 100

⇒ –x = log₁₀ 100 = 2

⇒ x = –2