Advertisements
Advertisements
Question
If log 8 = 0.9030, express the following:
log 4
Sum
Advertisements
Solution
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
shaalaa.com
Is there an error in this question or solution?
Chapter 7: Logarithms - EXERCISE 7B [Page 75]
