Solution set of 3x(3x andndash;1) + 2 = -3x andndash;1- + -3x andndash; 2- containsa)singleton set b)two elements c)at least four elementsd)infinite elementsCorrect answer is option 'A'. Can you explain this answer?

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Solution set of 3^x(3^x–1) + 2 = |3^x –1| + |3^x – 2| contains

a)
singleton set
b)
two elements
c)
at least four elements
d)
infinite elements

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

Solution set of 3x(3x –1) + 2 = |3x –1| + |3x – 2| c...

Let 3^x = t
t(t –1) + 2 = |t –1| + |t –2|
t² – t + 2 = |t –1| + |t –2|

are positive solution
t = a
3^x = a
x = log₃ a so singleton set

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Solution set of 3x(3x –1) + 2 = |3x –1| + |3x – 2| containsa)singleton set b)two elements c)at least four elementsd)infinite elementsCorrect answer is option 'A'. Can you explain this answer?

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