Question

Express the following in logarithmic form:

`3^-3 = 1/27`

Answer 1

Given: `3^-3 = 1/27`

Step-wise calculation:

1. Use the definition aⁿ = b ⇔ log_ab = n.

2. Here a = 3, n = –3, b = `1/27`,

So applying the definition gives `log_3 (1/27) = -3`.

`3^-3 = 1/27 ⇔ log_3 (1/27) = -3`