log(1+x)=x - Interview Questions https://www.wikitechy.com/interview-questions/tag/log1xx/ Interview Questions Fri, 17 Sep 2021 11:29:56 +0000 en-US hourly 1 https://wordpress.org/?v=6.1.1 If 100.3010 = 2, then find the value of log0.125 (125) ? https://www.wikitechy.com/interview-questions/logarithm/if-100-3010-2-then-find-the-value-of-log0-125-125/ https://www.wikitechy.com/interview-questions/logarithm/if-100-3010-2-then-find-the-value-of-log0-125-125/#respond Wed, 18 Aug 2021 01:11:30 +0000 https://www.wikitechy.com/interview-questions/?p=2010

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]

]]> https://www.wikitechy.com/interview-questions/logarithm/if-100-3010-2-then-find-the-value-of-log0-125-125/feed/ 0 The simplified form of log (75/16) – 2 log (5/9) + log (32/343) is ? https://www.wikitechy.com/interview-questions/logarithm/the-simplified-form-of-log-75-16-2-log-5-9-log-32-343-is/ https://www.wikitechy.com/interview-questions/logarithm/the-simplified-form-of-log-75-16-2-log-5-9-log-32-343-is/#respond Wed, 18 Aug 2021 01:07:53 +0000 https://www.wikitechy.com/interview-questions/?p=2008

The simplified form of log (75/16) – 2 log (5/9) + log (32/343) is ?

A . log 2

B . 2 log 2

C . log 3

D . log 5

Answer : A . log 2

Explanation:

Given:
= log75/16 – 2 log5/9 + log32/343
= log [(25 x 3)/(4 x 4)] – log (25/81) + log [(16 x 2)/(81 x 3)] = log(25 x 3) – log ( 4 x 4 ) – log(25) + log81 + log(16 x 2) – log (81 x 3)
= log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3
= log 2

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