If logn2 = a and logn5 =b, then logn50= ? [ যদি logn2 = a এবং logn5=b হয় তাহলে then logn50 =? ]

If log_n2 = a and log_n5 =b, then log_n50= ? [ যদি log_n2 = a এবং log_n5=b হয় তাহলে then log_n50 =? ]

A a + b

B a + b²

C ab²

D a + 2b

Correct Answer: Option D

এখানে, log_n2 = a এবং logn5 = b

∴ log_n50

= log_n(2×25)

= log_n² + log_n25

= log_n² + log_n5²

= log_n² + 2log_n5

= a + 2b