Speed solving

Number Theory Level 1

Let a two digit integer be of the form \(9^{\color{green}x} \) for some integer \({\color{green}x}\).

If we reverse the digits of the two digit number, it will be of the form \(9{\color{green}x}\).

What is the value of \(\color{green}x\)?

This problem is a part of the set Brain Games.

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