CA Foundation Exam > CA Foundation Questions > 12. The value of log 2 log 2 log 2 16?
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12. The value of log 2 log 2 log 2 16?
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12. The value of log 2 log 2 log 2 16?
Explanation of the value of log 2 log 2 log 2 16
- Definition of logarithm: A logarithm is an exponent that tells us how many times a number needs to be multiplied to get another number. For example, log base 2 of 8 is 3 because 2 to the power of 3 is 8.
- Breaking down the expression: log 2 log 2 log 2 16 can be broken down into three separate logarithmic expressions. We can start by evaluating the innermost expression, which is log base 2 of 16.
- Evaluating the innermost expression: log base 2 of 16 can be written as 2 to the power of what equals 16? 2 to the power of 4 equals 16, so log base 2 of 16 equals 4.
- Evaluating the next expression: Now that we know log base 2 of 16 equals 4, we can substitute that value into the next expression, which is log 2 log 2 4.
- Evaluating the middle expression: log 2 4 can be written as 2 to the power of what equals 4? 2 to the power of 2 equals 4, so log 2 4 equals 2.
- Evaluating the final expression: Now that we know log 2 4 equals 2, we can substitute that value into the final expression, which is log 2 2.
- Evaluating the final logarithmic expression: log 2 2 can be written as 2 to the power of what equals 2? 2 to the power of 1 equals 2, so log 2 2 equals 1.
- Putting it all together: Now that we have evaluated all three logarithmic expressions, we can put them back together. log 2 log 2 log 2 16 equals log 2 log 2 4, which equals log 2 2, which equals 1.
- Final answer: Therefore, the value of log 2 log 2 log 2 16 is 1.
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12. The value of log 2 log 2 log 2 16?
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12. The value of log 2 log 2 log 2 16? 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 12. The value of log 2 log 2 log 2 16? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12. The value of log 2 log 2 log 2 16?.
12. The value of log 2 log 2 log 2 16? 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 12. The value of log 2 log 2 log 2 16? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12. The value of log 2 log 2 log 2 16?.
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