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Calculating the Values of Logarithms
To calculate the values of the logarithms given, we can use the change of base formula:
logab = logcb / logca
where a, b, and c are positive real numbers and c is any base.
Using this formula, we can convert all the logarithms to a common base, say base 10 or base e.
Converting to Base 10
log23 = log103 / log102 ≈ 1.585
log34 = log104 / log103 ≈ 1.261
log45 = log105 / log104 ≈ 1.161
log1415 = log1015 / log1014 ≈ 1.067
log1516 = log1016 / log1015 ≈ 1.042
Converting to Base e
We can also convert the logarithms to base e using the natural logarithm function, ln(x):
log23 = ln(3) / ln(2) ≈ 1.585
log34 = ln(4) / ln(3) ≈ 1.261
log45 = ln(5) / ln(4) ≈ 1.161
log1415 = ln(15) / ln(14) ≈ 1.067
log1516 = ln(16) / ln(15) ≈ 1.042
Conclusion
In summary, the values of the logarithms are approximately:
log23 ≈ 1.585
log34 ≈ 1.261
log45 ≈ 1.161
log1415 ≈ 1.067
log1516 ≈ 1.042
To calculate the values of the logarithms given, we can use the change of base formula:
logab = logcb / logca
where a, b, and c are positive real numbers and c is any base.
Using this formula, we can convert all the logarithms to a common base, say base 10 or base e.
Converting to Base 10
log23 = log103 / log102 ≈ 1.585
log34 = log104 / log103 ≈ 1.261
log45 = log105 / log104 ≈ 1.161
log1415 = log1015 / log1014 ≈ 1.067
log1516 = log1016 / log1015 ≈ 1.042
Converting to Base e
We can also convert the logarithms to base e using the natural logarithm function, ln(x):
log23 = ln(3) / ln(2) ≈ 1.585
log34 = ln(4) / ln(3) ≈ 1.261
log45 = ln(5) / ln(4) ≈ 1.161
log1415 = ln(15) / ln(14) ≈ 1.067
log1516 = ln(16) / ln(15) ≈ 1.042
Conclusion
In summary, the values of the logarithms are approximately:
log23 ≈ 1.585
log34 ≈ 1.261
log45 ≈ 1.161
log1415 ≈ 1.067
log1516 ≈ 1.042
Community Answer
Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 b...
1/4 log14 base 5
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Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!?
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Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!?.
Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pls give me answer (1) the value of log 2 base 3 , log 3 base 4,log4 base 5, .log 14 base 15 log 15base 16 is.!?.
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