Math miscellaneousHard
Question
For the equation 
= 1, , identify the correct option(s) -
= 1, , identify the correct option(s) - Options
A.There are finite number of solutions in x ∈ (0, 2π)
B.There are infinite number of solutions in x ∈ (0, 2π)
C.Sum of all integral solutions in x ∈ (0, 2π)is 7.
D.Sum of all integral solutions in x ∈ (0, 2π)is 4.
Solution
πlog
= nπ, n ∈ I
⇒ log2
= n ⇒ x = 2-x
for x ∈ (0, 2π) : x =
sum of integral roots = 1 + 2 + 4 = 7
= nπ, n ∈ I⇒ log2
= n ⇒ x = 2-xfor x ∈ (0, 2π) : x =
sum of integral roots = 1 + 2 + 4 = 7
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