Question

If log 8 = 0.9030, express the following:

log 64

Answer 1

Given: log 8 = 0.9030

To find: log ⁡64

Calculation:

Step 1: Express 64 as a power of 8:

64 = 8²

⇒ log 64 = log (8²)

= 2 log 8

Step 2: Substitute the value:

log 64 = 2 × 0.9030

log 64 = 1.8060