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64powerx=1/256powery find the value for 3x+4y?
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64powerx=1/256powery find the value for 3x+4y?
Given Equation:
64^x = 1/256^y
To Find:
The value of 3x + 4y
Explanation:
Step 1: Rewrite the Equations in Terms of Common Bases
64 can be written as 2^6 and 256 can be written as 2^8. Therefore, the given equation can be rewritten as:
(2^6)^x = 1/(2^8)^y
2^(6x) = 1/2^(8y)
Step 2: Equate the Bases
Since the bases are the same, we can equate the exponents:
6x = -8y
Step 3: Solve for x in terms of y
x = -8y/6
x = -4y/3
Step 4: Calculate 3x + 4y
Substitute the value of x in terms of y into the expression 3x + 4y:
3(-4y/3) + 4y
-4y + 4y
0
Therefore, the value of 3x + 4y is 0.
This shows that the expression 3x + 4y simplifies to 0 based on the given equation.
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64powerx=1/256powery find the value for 3x+4y?
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64powerx=1/256powery find the value for 3x+4y? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 64powerx=1/256powery find the value for 3x+4y? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 64powerx=1/256powery find the value for 3x+4y?.
64powerx=1/256powery find the value for 3x+4y? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 64powerx=1/256powery find the value for 3x+4y? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 64powerx=1/256powery find the value for 3x+4y?.
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