Question
Question: The number of solutions of the equation 5<sup>x</sup> + 5<sup>–x</sup> = log<sub>10</sub> 25, x Ī R...
The number of solutions of the equation 5x + 5–x = log10 25,
x Ī R is
A
0
B
1
C
2
D
Infinitely many
Answer
0
Explanation
Solution
LHS being the sum of a number and its reciprocal, is greater than or equal to 2, whereas RHS is less than 2, so, no solution.(LHS