Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.