Write an exponential function in the form y = ab that
goes through points (0,12) and (3, 6144).

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Ответ:

tyler9585

11.05.2022

Mathematics

$ln\hspace{1mm} e^3=3$ , $ln\hspace{1mm} e^{2y}=2y$

Step-by-step explanation:

We know that $ln \hspace{1mm} e =log_e e= 1$ and according to power rule:

ln(x^y) = y ln(x)

Thus,

$ln\hspace{1mm}e^3=3 ln\hspace{1mm} e =3$

$ln\hspace{1mm}e^{2y}=2y ln\hspace{1mm} e = 2y$

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Write an exponential function in the form y = ab that goes through points (0,12) and (3, 6144).