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If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12?
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If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12...
Problem Analysis:
We are given that log₂x + log₂2 = 4, and we need to find the value of log₂x.
Solution:
Step 1: Simplify the given equation.
Using the rule log(a) + log(b) = log(ab), we can simplify the equation:
log₂(x*2) = 4
log₂(2x) = 4
Step 2: Convert the equation to exponential form.
The exponential form of log base 2 is 2 raised to the power of the logarithm equals the number:
2^(log₂(2x)) = 2^4
2x = 16
Step 3: Solve for x.
Divide both sides of the equation by 2:
x = 8
Step 4: Find the value of log₂x.
Substitute the value of x back into the original logarithmic equation:
log₂(8) = log₂(2^3)
log₂(8) = 3
Step 5: Determine the equivalent trigonometric function.
The equivalent trigonometric function for log₂x is tan 12.
Therefore, the correct answer is (A) tan 12.
Answer:
The value of log₂x can be equal to (A) tan 12.
We are given that log₂x + log₂2 = 4, and we need to find the value of log₂x.
Solution:
Step 1: Simplify the given equation.
Using the rule log(a) + log(b) = log(ab), we can simplify the equation:
log₂(x*2) = 4
log₂(2x) = 4
Step 2: Convert the equation to exponential form.
The exponential form of log base 2 is 2 raised to the power of the logarithm equals the number:
2^(log₂(2x)) = 2^4
2x = 16
Step 3: Solve for x.
Divide both sides of the equation by 2:
x = 8
Step 4: Find the value of log₂x.
Substitute the value of x back into the original logarithmic equation:
log₂(8) = log₂(2^3)
log₂(8) = 3
Step 5: Determine the equivalent trigonometric function.
The equivalent trigonometric function for log₂x is tan 12.
Therefore, the correct answer is (A) tan 12.
Answer:
The value of log₂x can be equal to (A) tan 12.
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If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12?
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If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12?.
If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If log₂x log 2 = 4, then log₂x can be equal to (A) tan 12 (B) tan 12 (C) cot 12 (D) cot 5 12?.
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