Question

If log 8 is equal to 0.90 find log 4

Answer 1

Answer :

Given that, ㏒8 = 0.90

⇒ ㏒ (2³) = 0.90

⇒ 3 ㏒2 = 0.90 [∵ ㏒ (2³) = 3 ㏒2]

⇒ ㏒2 = 0.90/3

⇒ ㏒2 = 0.30

Now, ㏒4

= ㏒ (2²)

= 2 ㏒2 [∵ ㏒ (2²) = 2 ㏒2]

= 2 × 0.30 [∵ ㏒2 = 0.30]

= 0.60

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Answer 2

log8 = 0.9
3 log2 = 0.9
log2 = 0.3
log4 = 2 log2 = 2*0.3 = 0.6 ans