Mathematics, 03.10.2021 14:00 jay7176
If f(x) is an exponential function where f(5) = 3 and f(11) = 28, then find the value of f(8), to the nearest hundredth.
Answers: 2
.
![\sqrt[6]{\dfrac{28}{3}} = b](/tpl/images/2488/6903/4520c.png)
![f(x) = a\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^x](/tpl/images/2488/6903/51a29.png)
.![3= a\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^5](/tpl/images/2488/6903/92602.png)
![\dfrac{3}{\left(\sqrt[6]{\frac{28}{3}}\right)^5}= a](/tpl/images/2488/6903/225a7.png)
![f(x) = \dfrac{3}{\left(\sqrt[6]{\frac{28}{3}}\right)^5} \cdot \left(\sqrt[6]{\frac{28}{3}}\right)^x](/tpl/images/2488/6903/53bc2.png)
.![f(x) =3\cdot \left(\sqrt[6]{\frac{28}{3}}\right)^{x-5}](/tpl/images/2488/6903/9dd6c.png)
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If f(x) is an exponential function where f(5) = 3 and f(11) = 28, then find the
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