logxY = 100 and log2x = 10, then the value of y is ?

log₂x = 10 ⇒ x = 2¹⁰.
log_xY= 100
⇒ y = x¹⁰⁰
⇒ y = (2¹⁰)¹⁰⁰ [put value of x] ⇒ y = 2¹⁰⁰⁰