Question

Express the following in exponential form:

log₁₀ 0.0001 = –4

Answer 1

Given: log₁₀ 0.0001 = –4

Step-wise calculation:

By definition log_ab = c ⇔ a^c = b, 

So here 10^–4 = 0.0001.

Check:

10^–1 = 0.1

10^–2 = 0.01

10^–3 = 0.001

10^–4 = 0.0001