A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\)...

JAMB 1993

A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\) y = x^y for all real values of x and y. If x \(\ast\) 2 = x. Find the possible values of x

A. 0, 1
B. 1, 2
C. 2, 2
D. 0, 2

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Correct Answer: Option A

Explanation

x \(\ast\) y = x^y

x \(\ast\) 2 = x²

x \(\ast\) 2 = x

∴ x² - x = 0

x(x - 1) = 0

x = 0 or 1

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A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\)...

Correct Answer: Option A

Explanation

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