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Exponential function/Arithmetic and geometric mean/Exercise
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Show that an
exponential function
R
⟶
R
+
,
x
⟼
b
x
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} _{+},x\longmapsto b^{x},}
transforms an
arithmetic mean
into a
geometric mean
.
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