Q. If $3^{x/2} + 2^{x} > 25,$ then the solution set is
A) $R$
B) $(2,\infty)$
C) $(4,\infty)$
D) None of these
Explanation
(c)
By trial,
$3^{x/2} + 2^{x} \leq 25\$for$\ x = 1,2,3,4$
But $3^{x/2} + 2^{x} > 25\$for$\ x > 4$
Hence, solution set for $3^{x/2} + 2^{x} > 25\$is$\ (4,\infty)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.