logarithm rules - Wikitechy https://www.wikitechy.com/interview-questions/tag/logarithm-rules/ Interview Questions Fri, 17 Sep 2021 11:29:56 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png logarithm rules - Wikitechy https://www.wikitechy.com/interview-questions/tag/logarithm-rules/ 32 32 log10(10) + log10(100) + log10(1000) + log10(10000) + log10(100000) is equal to ? https://www.wikitechy.com/interview-questions/logarithm/log1010-log10100-log101000-log1010000-log10100000-is-equal-to/ https://www.wikitechy.com/interview-questions/logarithm/log1010-log10100-log101000-log1010000-log10100000-is-equal-to/#respond Wed, 18 Aug 2021 01:14:48 +0000 https://www.wikitechy.com/interview-questions/?p=2011

log10(10) + log10(100) + log10(1000) + log10(10000) + log10(100000) is equal to ?

A. 15

B. log 11111

C. log10 (1111)

D. 14 log10 (100)

Answer : A. 15

Explanation :

Here are some values to base ten represented as logarithms :

Value As 10 raised to a power Log to base 10
1 10 0 0
10 10 1 1
100 10 2 2
1000 10 3 3
10000 10 4 4
100000 10 5 5

1 + 2 + 3 + 4 + 5 = 15

]]> https://www.wikitechy.com/interview-questions/logarithm/log1010-log10100-log101000-log1010000-log10100000-is-equal-to/feed/ 0 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 Find the value of log (a2 / bc) + log (b2 / ac) + log (c2 / ab) ? https://www.wikitechy.com/interview-questions/logarithm/find-the-value-of-log-a2-bc-log-b2-ac-log-c2-ab/ https://www.wikitechy.com/interview-questions/logarithm/find-the-value-of-log-a2-bc-log-b2-ac-log-c2-ab/#respond Wed, 18 Aug 2021 01:09:46 +0000 https://www.wikitechy.com/interview-questions/?p=2009

Find the value of log (a2 / bc) + log (b2 / ac) + log (c2 / ab) ?

A. 0

B. 1

C. abc

D. ab2c2

Answer : A. 0…

Explanation:

logX + logY = log (XY)
= log (a2/bc) + log (b2/ac) + log (c2/ab)
= log (a2 b2 c2 / bcacab)
= log (a2 b2c2 / a2b2c2)
= log 1
= 0

]]> https://www.wikitechy.com/interview-questions/logarithm/find-the-value-of-log-a2-bc-log-b2-ac-log-c2-ab/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

]]> https://www.wikitechy.com/interview-questions/logarithm/the-simplified-form-of-log-75-16-2-log-5-9-log-32-343-is/feed/ 0 What is the value of log(ab2) – log(ac) + log(abc4) – 3log(bc) ? https://www.wikitechy.com/interview-questions/logarithm/what-is-the-value-of-logab2-logac-logabc4-3logbc/ https://www.wikitechy.com/interview-questions/logarithm/what-is-the-value-of-logab2-logac-logabc4-3logbc/#respond Wed, 18 Aug 2021 01:04:45 +0000 https://www.wikitechy.com/interview-questions/?p=2006

What is the value of log(ab2) – log(ac) + log(abc4) – 3log(bc) ?

A. 2

B. 0

C. -2

D. 1

Answer : D. 1…

Explanation:

log(ab2) – log(ac) + log abc4 – 3log(bc)
= log ab2 – logac + log abc4 – log b3c3
= loga (ab2/ac) x (abc4/b3c3)
= logaa = 1

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