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If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to?
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If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is ...
Solution:
Step 1: Convert logx to base 4 into logx to base 2
Since we need to find logx to base 2, we can convert logx to base 4 into logx to base 2 using the following formula:
logx to base 4 = logx to base 2 / log4 to base 2
Substituting the values given in the question, we get:
logx to base 4 = logx to base 2 / 2
Therefore, logx to base 2 = 2*logx to base 4
Step 2: Convert logx to base 16 into logx to base 2
Using the same formula as in step 1, we can convert logx to base 16 into logx to base 2:
logx to base 16 = logx to base 2 / log16 to base 2
Substituting the values given in the question, we get:
logx to base 16 = logx to base 2 / 4
Therefore, logx to base 2 = 4*logx to base 16
Step 3: Combine the equations
Now we can substitute the two equations we derived in steps 1 and 2 into the equation given in the question:
logx to base 2 + 2*logx to base 4 + 4*logx to base 16 = 21/4
Substituting the values we derived in steps 1 and 2, we get:
logx to base 2 + 2*(logx to base 2 / 2) + 4*(logx to base 2 / 4) = 21/4
Simplifying, we get:
logx to base 2 + logx to base 2 + logx to base 2 = 21/4
3*logx to base 2 = 21/4
logx to base 2 = 7/4
Step 4: Find x
Now we can use the definition of logarithms to find x:
x = 2^(logx to base 2)
Substituting the value we found in step 3, we get:
x = 2^(7/4)
Therefore, x = 5.66 (approx)
Answer:
The value of x is 5.66 (approx).
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If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to?
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If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to? 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 If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to?.
If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to? 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 If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If logx to base 2 logx to base 4 logx to base 16= 21/4 these x is equal to?.
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