IIT JEE , AIEEE Forum - Mathematics , Algebra - The number of solution of 3^(-|x|)-2^|x| = 0.

jic

The number of solution of 3^(-|x|)-2^|x| = 0. .it is from arihant differential calculus "graphical transformation" q2 , by graphing i found one solution but ans say it is 2 . so pls graph it also if possible

sachinguptaiit

f(x) = 3^-|x|-2^|x| = 0

hence we get 3^-|x|-2^|x|=0

for x>0 we have 3^-x-2^x=0 hence 3^-x = 2^x only possible at x =0 where both are equal to 1

for x<0 we have 3^x-2^-x=0 hence 3^x= 2^-x only possible solution is at x = 0 where both are equal to 1

I dont think there is any other solution and even graphically I am getting only 1 solution

jic

yup , i too think the same thing may be there is some error in the book.pls let me know the graph plotter used by you

little_genius

only one solution.....

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f(x) = 3-|x|-2|x| = 0

hence we get 3-|x|-2|x|=0

for x>0 we have 3-x-2x=0 hence 3-x = 2x only possible at x =0 where both are equal to 1

for x<0 we have 3x-2-x=0 hence 3x = 2-x only possible solution is at x = 0 where both are equal to 1

I dont think there is any other solution and even graphically I am getting only 1 solution

f(x) = 3^-|x|-2^|x| = 0

hence we get 3^-|x|-2^|x|=0

for x>0 we have 3^-x-2^x=0 hence 3^-x = 2^x only possible at x =0 where both are equal to 1

for x<0 we have 3^x-2^-x=0 hence 3^x= 2^-x only possible solution is at x = 0 where both are equal to 1