Question
Question: If 6<sup>x</sup> + 6<sup>x+1</sup> = 2<sup>x</sup> + 2<sup>x+1</sup> + 2<sup>x+2</sup> the number of...
If 6x + 6x+1 = 2x + 2x+1 + 2x+2 the number of solutions of x is-
A
One
B
Two
C
Infinite
D
None of these
Answer
One
Explanation
Solution
If 6x (1 + 6) = 2x (1 + 2 + 4) Ž 7.6x = 7.2x
Ž 6x = 2x Ž x = 0 is only solution.