Quant Exam > Quant Questions > If log102 = 0.3010, the value of log1080 is:a...
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If log10 2 = 0.3010, the value of log10 80 is:
- a)1.6020
- b)1.9030
- c)3.9030
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)...
Most Upvoted Answer
If log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)...
Understanding Logarithms
Logarithms are the inverse operations of exponentiation and help simplify multiplication and division problems into addition and subtraction.
Given Data
- We know that:
log10(2) = 0.3010
Finding log10(80)
To find log10(80), we can express 80 in terms of its prime factors:
80 = 8 × 10 = 2³ × 10
Using the properties of logarithms, we can break this down:
log10(80) = log10(2³ × 10)
= log10(2³) + log10(10)
= 3 × log10(2) + 1 (since log10(10) = 1)
= 3 × 0.3010 + 1
= 0.9030 + 1
= 1.9030
Finding log10(80)
Now we can combine this with our previous result to find log10(80):
log10(80) = 1.9030
Final Answer
Thus, the value of log10(80) is:
**1.9030**
The correct answer is option 'B'.
Logarithms are the inverse operations of exponentiation and help simplify multiplication and division problems into addition and subtraction.
Given Data
- We know that:
log10(2) = 0.3010
Finding log10(80)
To find log10(80), we can express 80 in terms of its prime factors:
80 = 8 × 10 = 2³ × 10
Using the properties of logarithms, we can break this down:
log10(80) = log10(2³ × 10)
= log10(2³) + log10(10)
= 3 × log10(2) + 1 (since log10(10) = 1)
= 3 × 0.3010 + 1
= 0.9030 + 1
= 1.9030
Finding log10(80)
Now we can combine this with our previous result to find log10(80):
log10(80) = 1.9030
Final Answer
Thus, the value of log10(80) is:
**1.9030**
The correct answer is option 'B'.
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If log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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If log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)None of theseCorrect answer is option 'B'. 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 log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)None of theseCorrect answer is option 'B'. 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 log102 = 0.3010, the value of log1080 is:a)1.6020b)1.9030c)3.9030d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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