0

Guest

Courses New

How to solve the following equation log 3 (3 x -8)=2-x Thank you

How to solve the following equation
log3 (3x-8)=2-x
Thank you

Grade:11

1 Answers

Vaibhav Singh
57 Points
7 years ago
Thanks for asking the question.Basically in this question we have to form an algebraic equation and then solve it to find x.log3(3^x -8) = 2-x.=> 3^x - 8 = 3^(2-x)=> 3^x -8 = 3^2/3^x=>3^x - 8 = 9/3^xLet, 3^x = y Therefore, y - 8 = 9/y.=> y^2 - 8y = 9On solving the above quadratic equation, we get y = 9 and y = -1=> 3^x = 9 and 3^x = -1.Since, 3^x = -1 is not possible.Therefore 3^x = 9=> x = 2.Hence, only solution is x=2

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More