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9x + 9x-1 = 90 then x = ……………….. 

A) 2 

B) -2

C) 3 

D) 4

3 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (A) 2

\(9^x+9^{x-1}\) = 90

\(\Rightarrow\) \(9^{x-1}(9+1)=90\)

\(\Rightarrow\) \(9^{x-1}\times10=90\)

\(\Rightarrow\) \(9^{x-1}=\frac{90}{10}=9\)

\(\Rightarrow\) x - 1 = 1

\(\Rightarrow\) x = 1 - (-1) = 1+1 = 2

+2 votes
by (38.9k points)

Correct option is  A) 2

+2 votes
by (923 points)
  • 9^2 + 9^2-1
  • (9)^2 +(9)^1
  • 81+9
  • 90

the correct option is A

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