If 100.3010 = 2, then find the value of log0.125 (125) ?

Answer : B. – 699 / 301…

If 100.3010 = 2, then find the value of log0.125 (125) ?

A. 699 / 301

B. – 699 / 301

C. – 1

D. – 2

Answer : B. – 699 / 301…

Explanation:

100.3010 = 2 ,
take log base 10 both sides ,
log10100.3010 = log102
0.3010 = log102

Given :
log0.125125 = log125/1000125
= log0.55 = 1 / log50.5
= 1 / -log52
= -log105 / log102
= -2.321 [ log5 = 0.6989 and log2 = 0.3010]

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