If log(base2)x=4, log(base3)y=5 then find log(base5)(x+y)

Question

If log₂x=4, log₃y=5 then find log₅(x+y)

Answer 1

\(log_2x = 4, log_3y = 5\)

⇒ \(x =2^4 = 16,y =3^5 = 243\)

\(log_5(x+y) = log_5(16 + 243) = log_5(259)\)