Question

If log 8 = 0.9030, express the following:

log 4

Answer 1

Given: log 8 = 0.9030

To find: log 4

Calculation:

Step 1: Express 8 in terms of 2:

8 = 2³

log 8 = log (2³)

log 8 = 3 log 2

Step 2: Substitute the given value:

3 log 2 = 0.9030

`log 2 = 0.9030/3`

log 2 = 0.3010

Step 3: Now, log 4 = log (2²)

log 4 = 2 log 2

log 4 = 2 × 0.3010

log 4 = 0.6020