Chapter 3.1, Problem 6E

To determine

Find the function at the indicated value of x by using a calculator .Keep the result to three decimal places.

Answer to Problem 6E

The value of x for the function is $1.063$ .

Explanation of Solution

Given: It is given in the question that the function is $f(x)={1.2}^x$ and the value which should be put is $x=\frac{1}{3}$ .

Concept Used:

In this ,use the concept of knowing to put the value of x in the equation and find the result Also ,use the exponential calculator.

Calculation: For this,simply pass the given x value (on the right) through the function (on the left) and evaluate.Here,the function is $f(x)={1.2}^x$ and it has to be need to evaluate $x=\frac{1}{3}$ , simply pass $\frac{1}{3}$ through the function :

  $f(\frac{1}{3})={1.2}^{\frac{1}{3}}$ .To enter on the calculator,use the caret key $({1.2}^{\frac{1}{3}}\to 1.2^\frac{1}{3})$ ,then

  $\begin{array}{l}f(\frac{1}{3})={1.2}^{\frac{1}{3}}\\ f(\frac{1}{3})=1.063\end{array}$

Conclusion:

The value x for the function is $1.063$ .