# How do you evaluate the function f(x)=2.3^x at the value of x=3/2?

Jan 13, 2018

$f \left(\frac{3}{2}\right) \approx 10.39 \text{ to 2 dec. places}$

#### Explanation:

$\text{to evaluate substitute "x=3/2" into } f \left(x\right)$

$\Rightarrow f \left(\textcolor{red}{\frac{3}{2}}\right) = 2 \times {3}^{\textcolor{red}{\frac{3}{2}}}$

$\textcolor{w h i t e}{\times \times \times x} = 2 \times \sqrt{{3}^{3}}$

$\textcolor{w h i t e}{\times \times \times x} = 2 \sqrt{27} \approx 10.39 \text{ to 2 dec. places}$