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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
- a)2.870
- b)2.967
- c)3.876
- d)3.912
Correct answer is option 'C'. Can you explain this answer?
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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b...
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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b...
Calculating log5512 using the given values of log 2 and log 3.
Given: log 2 = 0.3010 and log 3 = 0.4771
To find: log5512
We can write 5512 as a product of powers of 2 and 3:
5512 = 27 × 33
Taking the logarithm of both sides:
log 5512 = log (27 × 33)
Using the properties of logarithms:
log 5512 = log 27 + log 33
Substituting the given values of log 2 and log 3:
log 5512 = log (23 × 33) + log 3
log 5512 = 3 log 2 + log 3
log 5512 = 3(0.3010) + 0.4771
log 5512 = 0.9030 + 0.4771
log 5512 = 1.3801
Therefore, the value of log5512 is 1.3801.
However, none of the given options match this value. It is possible that there is a mistake in the question or in the answer options.
Given: log 2 = 0.3010 and log 3 = 0.4771
To find: log5512
We can write 5512 as a product of powers of 2 and 3:
5512 = 27 × 33
Taking the logarithm of both sides:
log 5512 = log (27 × 33)
Using the properties of logarithms:
log 5512 = log 27 + log 33
Substituting the given values of log 2 and log 3:
log 5512 = log (23 × 33) + log 3
log 5512 = 3 log 2 + log 3
log 5512 = 3(0.3010) + 0.4771
log 5512 = 0.9030 + 0.4771
log 5512 = 1.3801
Therefore, the value of log5512 is 1.3801.
However, none of the given options match this value. It is possible that there is a mistake in the question or in the answer options.
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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer?
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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer?.
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log 2 = 0.3010 and log 3 = 0.4771, the value of log5512 is:a)2.870b)2.967c)3.876d)3.912Correct answer is option 'C'. Can you explain this answer?.
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