Question

64/169=(8/13)^x

\(9^x:3^x=3\)

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Answer 1

`64/169=(8/13)^x`

`=> (8/13)^2=(8/13)^x`

`=> x=2`

\(9^x:3^x=3\)

\(\Rightarrow3^{2x}-3^x=3\)

\(\Rightarrow3^x=3\)

\(\Rightarrow x=1\)

 

Answer 2

+) \(\left(\dfrac{8}{13}\right)^x=\dfrac{64}{169}=\left(\dfrac{8}{13}\right)^2\)

\(\Rightarrow x=2\)

+) \(9^x:3^x=3\)

\(3^{2x}:3^x=3\)

\(3^x=3\)

\(x=1\)