isi-entrance 2019 Q27

isi-entrance · India · UGA Number Theory Modular Arithmetic Computation
Let $a \geq b \geq c \geq 0$ be integers such that $2 ^ { a } + 2 ^ { b } - 2 ^ { c } = 144$. Then, $a + b - c$ equals:
(A) 7
(B) 8
(C) 9
(D) 10 .
Let $a \geq b \geq c \geq 0$ be integers such that $2 ^ { a } + 2 ^ { b } - 2 ^ { c } = 144$. Then, $a + b - c$ equals:\\
(A) 7\\
(B) 8\\
(C) 9\\
(D) 10 .