Question

Consider the equation log5(x 5) = x2. What are the approximate solutions of the equation? Check all that apply.

Answer 1

The approximate solutions of the equation are x = -0.93358695, and 1.05794841.

Given

Consider the equation $\rm log_5(x+5)=x^2$.

What properties for Logarithms are used to solve the equation?

Change of base formula is used in the evaluation of log and has another base than 10.

Taking log base 5 on both sides;

Then,

The solution of the equation is;

$\rm log_5(x+5)=x^2\\\\(x+5)=5^{(x^2)}$

The solution is by graphing x + 5  and 5^(x^2) as two separate functions and then reading off the approximate x-coordinate of the point of intersection.

The solution is the x-value of the point of intersection.

x= -0.93358695, 1.05794841

Hence, the approximate solutions of the equation are x = -0.93358695, and 1.05794841.

To know more about logarithms properties click the link given below.

brainly.com/question/26053315