53x-1 ÷ 25 = 125 then x = ……………… 

A) – 2 

B) 2 

C) 4 

D) 3

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3 Answers

Correct option is (B) 2

\(5^{3x-1}\div25\) = 125

\(\Rightarrow\frac{5^{3x-1}}{25}=125\)

\(\Rightarrow\) \(5^{3x-1}=5^2\times5^3=5^{2+3}=5^5\)

\(\Rightarrow\) \(3x-1=5\)

\(\Rightarrow\) 3x = 5+1 = 6

\(\Rightarrow x=\frac63=2\)

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 Correct option is  B) 2

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B) 2
5^3x-1 = 5^5
3x-1 = 5
3x = 6
x = 2
           

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