log4(a2 + a) - log4(a + 1) = 2 হলে a এর মান কত?

log₄(a² + a) - log₄(a + 1) = 2 হলে a এর মান কত?

A 2

B 4

C 12

D 16

Correct Answer: Option D

log₄(a² + a) - log₄(a + 1) = 2
log₄{(a² + a)/(a + 1)} = 2
log₄{a(a + 1)/(a + 1)} = 2
log₄a = 2
a = 4²
a = 16