Question

Express the following in logarithmic form:

`2^-5 = 1/32`

Answer 1

Given: `2^-5 = 1/32`

Step-wise calculation:

Use the equivalence aⁿ = b ⇔ log_ab = n.

Here a = 2, n = –5, b = `1/32`.

So `log_2 (1/32) = -5`.