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If log 2 = 0.3010 and log 3 = 0.4771, What is the value of log51024?
- a)4.31
- b)3.88
- c)3.91
- d)2.97
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If log 2 = 0.3010 and log 3 = 0.4771, What is the value of log51024?a)...
log 5 1024= log1024/log5 = log ( 2^10)/log(10/2)=10log(2)/log10−log2
=10*0.3010/1−0.3010 = 3.01/0.699 = 3010/699 = 4.31
Most Upvoted Answer
If log 2 = 0.3010 and log 3 = 0.4771, What is the value of log51024?a)...
To find the value of log51024, we can use the property of logarithms that states log(a * b) = log(a) + log(b).
Let's break down the given number 51024 into its prime factors:
51024 = 2^7 * 3^3
Now, we can rewrite 51024 as:
51024 = (2 * 2 * 2 * 2 * 2 * 2 * 2) * (3 * 3 * 3)
Using the property of logarithms, we can rewrite log51024 as:
log51024 = log2^7 + log3^3
Given that log2 = 0.3010 and log3 = 0.4771, we can substitute these values into the equation:
log51024 = 7(log2) + 3(log3)
Calculating this expression:
log51024 = 7(0.3010) + 3(0.4771)
log51024 = 2.1070 + 1.4313
log51024 = 3.5383
Therefore, the value of log51024 is approximately 3.5383.
None of the given options match this value, so none of the options are correct.
Please note that the correct answer is not option 'A' as mentioned.
Let's break down the given number 51024 into its prime factors:
51024 = 2^7 * 3^3
Now, we can rewrite 51024 as:
51024 = (2 * 2 * 2 * 2 * 2 * 2 * 2) * (3 * 3 * 3)
Using the property of logarithms, we can rewrite log51024 as:
log51024 = log2^7 + log3^3
Given that log2 = 0.3010 and log3 = 0.4771, we can substitute these values into the equation:
log51024 = 7(log2) + 3(log3)
Calculating this expression:
log51024 = 7(0.3010) + 3(0.4771)
log51024 = 2.1070 + 1.4313
log51024 = 3.5383
Therefore, the value of log51024 is approximately 3.5383.
None of the given options match this value, so none of the options are correct.
Please note that the correct answer is not option 'A' as mentioned.
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If log 2 = 0.3010 and log 3 = 0.4771, What is the value of log51024?a)4.31b)3.88c)3.91d)2.97Correct answer is option 'A'. Can you explain this answer?
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