Question

Find the logarithm of : 0.1 to the base 10

Answer 1

Let log₁₀0.1 = x
∴ 10^x = 0.1
⇒ 10^x = `1/10`
⇒  10^x = 10^-1
⇒  x = - 1       ......[ If a^m = aⁿ ; then m = n ]
∴ log₁₀0.1 = - 1