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Subjects
Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsExpertLevel 44
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If (3^{x}+3^{x+1}+3^{x+2}=117), what is the value of (x)?

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Answer and explanation

Correct answer: (2)

Factoring (3^{x}), we get (3^{x}(1+3+9)=117). Thus (13\cdot3^{x}=117), (3^{x}=9), and (x=2).

Related tags

Exponent EquationFactorizationPowers

Frequently asked questions

What is the correct answer to this question?

(2)

Why is this the correct answer?

Factoring (3^{x}), we get (3^{x}(1+3+9)=117). Thus (13\cdot3^{x}=117), (3^{x}=9), 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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