Chapter 14.3, Problem 10MRE

To determine

To find: The graph of the given equation.

Answer to Problem 10MRE

  

Explanation of Solution

Given information:

An equation is given as $3x^2+y^2=27$ .

Calculation:

Given equation is $3x^2+y^2=27$ .

  $\begin{array}{l}\Rightarrow \frac{x^2}{9}+\frac{y^2}{27}=1\\ \Rightarrow \frac{x^2}{3^2}+\frac{y^2}{{\left(3\sqrt{3}\right)}^2}=1\end{array}$

This is standard equation of an ellipse.

Plotting the graph of given logarithmic equation using a graphing calculator as below.