If log xy = 100 and log 2x = 10 then the value of y is?

log_xy =100, log₂x = 10
⇒ log y / log x = 100 and log x / log 2 = 10
⇒ log y / log 2 = 100 x 10 = 1000
⇒ log₂y = 1000
∴ y = 2¹⁰⁰⁰