Word Count : 164

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If $f(x)=e^{ax}$, then for any real numbers $x$ and $y$ the algebraic law of exponents gives $$ f(x+y)=e^{a(x+y)}=e^{ax+ay}=e^{ax}\,e^{ay}=f(x)\,f(y). $$ Thus the exponential function converts addition in the argument into multiplication of values. From this single identity follow several useful algebraic consequences. ____ _________ ___ ___ _________ _____.
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