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2^x-1 2^x 1 =1280 please solve it?
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2^x-1 2^x 1 =1280 please solve it?
Solving 2^x-1 * 2^x = 1280
- Step 1: Use the rule of exponents to simplify the left-hand side of the equation
- 2^x-1 * 2^x = 2^(x-1) * 2^x = 2^(x-1+x) = 2^(2x-1)
- Step 2: Substitute the simplified expression back into the original equation
- 2^(2x-1) = 1280
- Step 3: Rewrite 1280 as a power of 2 using the rule of exponents
- 1280 = 2^10
- Step 4: Substitute 2^10 for 1280 in the equation
- 2^(2x-1) = 2^10
- Step 5: Equate the exponents on both sides of the equation
- 2x-1 = 10
- Step 6: Solve for x
- 2x = 11
- x = 5.5
Final Answer: x = 5.5
Explanation: To solve the equation, we first simplified the left-hand side using the rule of exponents. We then substituted the simplified expression back into the original equation and rewrote 1280 as a power of 2. Equating the exponents on both sides of the equation allowed us to solve for x, which turned out to be 5.5.
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2^x-1 2^x 1 =1280 please solve it?
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2^x-1 2^x 1 =1280 please solve it? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 2^x-1 2^x 1 =1280 please solve it? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2^x-1 2^x 1 =1280 please solve it?.
2^x-1 2^x 1 =1280 please solve it? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 2^x-1 2^x 1 =1280 please solve it? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2^x-1 2^x 1 =1280 please solve it?.
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