Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Sagot :

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

Given

Consider the equation [tex]\rm log_5(x+5)=x^2[/tex].

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;

[tex]\rm log_5(x+5)=x^2\\\\(x+5)=5^{(x^2)}[/tex]

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

View image psm22415