if 10^0.3010 = 2 - Wikitechy https://www.wikitechy.com/interview-questions/tag/if-100-3010-2/ Interview Questions Sat, 18 Sep 2021 07:02:17 +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 if 10^0.3010 = 2 - Wikitechy https://www.wikitechy.com/interview-questions/tag/if-100-3010-2/ 32 32 The value of log2(1/64) is ? https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log2-1-64-is/ https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log2-1-64-is/#respond Wed, 18 Aug 2021 01:17:09 +0000 https://www.wikitechy.com/interview-questions/?p=2012

The value of log2(1/64) is ?

A. 6

B. – 6

C. 7

D. None of these

Answer : B. -6

Explanation:

log2(1/64)
= log2(1) – log2(64)
= 0 – log2(26)
= -6log2(2).
= −6

]]> https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log2-1-64-is/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 The value of log 9/8 – log 27/32 + log 3/4 is ? https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log-9-8-log-27-32-log-3-4-is/ https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log-9-8-log-27-32-log-3-4-is/#respond Wed, 18 Aug 2021 01:05:50 +0000 https://www.wikitechy.com/interview-questions/?p=2007

The value of log 9/8 – log 27/32 + log 3/4 is ?

A . 0

B . 1

C . 2

D . 3

Answer : A . 0

Explanation:

Given:
= log [ { (9 / 8) / (27 / 32) } x 3 / 4) ] = log [ (9 / 8) x (3 / 4) x (32 / 27) ] = log 1
= 0

]]> https://www.wikitechy.com/interview-questions/logarithm/the-value-of-log-9-8-log-27-32-log-3-4-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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