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If (4^{x}+4^{x+1}+4^{x+2}=336), what is the value of (x)?
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Answer and explanation
Correct answer: (2)
Factoring (4^{x}), we get (4^{x}(1+4+16)=336). Thus (21\cdot4^{x}=336), (4^{x}=16), and (x=2).
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
Factoring (4^{x}), we get (4^{x}(1+4+16)=336). Thus (21\cdot4^{x}=336), (4^{x}=16), and (x=2).
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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