Logarithm

If log_x y = 100 and log₂ x = 10, then the value of y is:

A 2¹⁰

B 2¹⁰⁰

C 2¹⁰⁰⁰

D 2¹⁰⁰⁰⁰

ANS:C - 2¹⁰⁰⁰

log ₂ x = 10 x = 2¹⁰. log_x y = 100 y = x¹⁰⁰ y = (2¹⁰)¹⁰⁰ [put value of x] y = 2¹⁰⁰⁰.

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