Question

2. Write separately what are the values a, x and y can take if
${a}^{x} = {a}^{y} = x = y$
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Answer 1

Step-by-step explanation:

a x = a y = x = y

a x = x

=> x (a-1) = 0

=> x = 0 or a = 1

a x = a y

=> y ( a-1) = 0

=> y=0 or a= 1

a x = a y

=> a ( x- y) = 0

=> a = 0 , x = y

x,y = 0 a can have any value a= 1, x, y can have any value such a= x = y= (0)