bbsdadhikari bbsdadhikari

01-06-2022
Mathematics

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(c) If f(x) = a^x , then show that f(m +n + p) = f(m). f(x). f(p)

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loneguy loneguy

01-06-2022

[tex]\text{Given that,}~\\\\f(x) =a^x\\\\\text{L.H.S}\\\\=f(m+n+p)\\\\=a^{m+n+p}\\\\\text{R.H.S}\\\\=f(m) \cdot f(n) \cdot f(p)\\\\=a^m \cdot a^n \cdot a^p\\\\=a^{m+n+p}\\\\ \text{L.H.S} = \text{R.H.S}\\\\\text{Proved.}[/tex]

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