Question

Answer please! If a^x = a^y then x = y. So, if 1^2 = 1^3 then 2 = 3? But, 2 ≠ 3. Explain.

Answer 1

If a^x = a^y then x = y


THE RULE IS NOT APPLICABLE TO 1,0

AS

1^∞=1

1^ ANYTHING =1


0^ANYTHING =UN DEFINED




SO,THE RULE IS NOT  APPLICABLE TO 0,1   ,CONSIDERED TO BE EXCPTIONS

Answer 2

we know that exponential function is defined if it's base is greater than zero and not equal to one...

so we can't compare any power to unity..

becoz it's is against the rule of exponential function..

_____________________________

hope it will help u