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What is the number of solutions of the equation 2 x 3 x=1 for 0 < x < ?

Options

  1. AOnly one
  2. BOnly two
  3. COnly five
  4. DMore than five

Correct answer

C. Only five

Step-by-step solution

We have given, 2 x 3 x=1 (given) aligned & 2 x 3 x- 2 x 3 x=0 & (2 x+3 x)= 5 x=0 aligned Hence 5 x= 2 , 3 2 , 5 2 , 7 2 , 9 2 , But 0 < x < x = 10 , 3 10 , 5 10 , 7 10 , 9 10 Thus only five values of x are possible.

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