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Number of real solution of the equation |x-3|^(3x^2-10x+3)=1

Number of real solution of the equation |x-3|^(3x^2-10x+3)=1

Grade:12th pass

2 Answers

Dhananjay
16 Points
6 years ago
Take log base 10 on both sides then (3x^2-10x+3)log |x-3|=log 1 or can be written as 0. So there should be 3x^2-10x+3=0 and log |x-3|=0 Then values of x are coming 13,-7,3,1/3
Ansh Bargoti
11 Points
6 years ago
First take log with base of 10...then equation becomes in product as (3x^2-10x+3).log|x-3|=0....,,,,then if 3x^2-10x+3=0 so x=3,1/3 but on checking values of x when we put x=3 the indetermiant form appears so x=3 neglected then second case is log|x-3|=0 therefore by solving x=4,2 ….hence the equation has only 3 solutions as x=1/3,4,2....
 
 

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