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For any function f(x) with domain D, if a=b is an element of D, then f(a)=f(b).

(Never seen it, but is true and replaces all other properties of equality.)

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Q: What is the definition of property of equality of exponential function?
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The only non-exponential function that has this property would be a function that has the constant value of zero.


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What are the properties of equalities?

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