Question
Question: The number of real solutions of the equation sin e<sup>x</sup> = 5<sup>x</sup> + 5<sup>–x</sup> is-...
The number of real solutions of the equation sin ex = 5x + 5–x is-
A
0
B
1
C
2
D
Infinitely many
Answer
0
Explanation
Solution
sin (ex) = 5x + 5–x
⇓ ⇓
– 1 ≤ sin(ex) ≤ 1; 5x + 5–x ≥ 2
– 1 ≤ LHS ≤ 1; RHS ≥ 2
∴ No solution.