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25 to the power x is equal to 25 upon 5 to the power x find the value of x?
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25 to the power x is equal to 25 upon 5 to the power x find the value ...
Solving for x in an Exponential Equation
To solve for x in the equation 25x = 25/5x, we can use the properties of logarithms to transform the equation into a more manageable form.
Step 1: Rewrite the equation using the properties of exponents
We can rewrite the equation as:
52x = 25/5x
Step 2: Simplify the right-hand side of the equation
25/5x can be simplified as:
25/5x = 52/5x = 52-x
Step 3: Substitute the simplified expression into the equation
Substituting 52-x for 25/5x in the equation 52x = 52-x, we get:
52x = 52-x
Step 4: Equate the exponents
Since the bases are the same, we can equate the exponents:
2x = 2 - x
Step 5: Solve for x
Simplifying the equation, we get:
3x = 2
Therefore, x = 2/3.
Final Answer
The value of x that satisfies the equation 25x = 25/5x is x = 2/3.
Community Answer
25 to the power x is equal to 25 upon 5 to the power x find the value ...
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25 to the power x is equal to 25 upon 5 to the power x find the value of x?
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25 to the power x is equal to 25 upon 5 to the power x find the value of x? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 25 to the power x is equal to 25 upon 5 to the power x find the value of x? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 25 to the power x is equal to 25 upon 5 to the power x find the value of x?.
25 to the power x is equal to 25 upon 5 to the power x find the value of x? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 25 to the power x is equal to 25 upon 5 to the power x find the value of x? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 25 to the power x is equal to 25 upon 5 to the power x find the value of x?.
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