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Question:
The integral values of x satisfying the equation,
2^|x+1| - 2^x = |2^x - 1| + 1 are:
Answer:
Method 1:
OA
Case 1 : x > -1
Expression reduces to : 2^x - 1 = |2^x - 1|
=> 2^x - 1 >= 0 => x >=0
Case 2 : x< -1
Put 2^x = t in the expression and solve,
t = 1/4 => x = -2
Integral values : {-2} U [0,infinity).
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