Math  /  Number Theory

Question Prove the statement "if 2x=32^{x} = 3, then xx is not rational" is logically equivalent to the original statement "if xx is rational, then 2x32^{x} \neq 3".

Studdy Solution
Combine the translations from STEP_4 to form the contrapositive statement.
The contrapositive statement is "if 2x=32^{x} = 3 then xx is not rational".
The contrapositive of "if xx is rational then 2x32^{x} \neq 3" is indeed "if 2x=32^{x}=3 then xx is not rational".

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