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If (2^{x}+2^{x+1}+2^{x+2}=112), what is the value of (x)?
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Answer and explanation
Correct answer: (4)
Factoring (2^{x}), we get (2^{x}(1+2+4)=112), so (7\cdot2^{x}=112). Thus (2^{x}=16) and (x=4).
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What is the correct answer to this question?
(4)
Why is this the correct answer?
Factoring (2^{x}), we get (2^{x}(1+2+4)=112), so (7\cdot2^{x}=112). Thus (2^{x}=16) and (x=4).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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