Question

3^x+3^x+1 = 108

Answer 1

\(3^x+3^{x+1}=108\)

\(\Rightarrow3^x.1+3^x.3^1=108\)

\(\Rightarrow3^x.\left(1+3^1\right)=108\)

\(\Rightarrow3^x.4=108\)

\(\Rightarrow3^x=108:4\)

\(\Rightarrow3^x=27\)

\(\Rightarrow3^x=3^3\)

\(\Rightarrow x=3\)

Vậy \(x=3.\)

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Answer 2

3^x+3^x+1=108

<=>3^x+3^x.3=108

<=>3^x(1+3)=108

<=>3^x.4=108

<=>3^x=108:4

<=>3^x=27

<=>3^x=3³

=>x=3

Vậy x=3

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