If log x y = 100 and log 2 x = 10, then the value of y is: Options: A . &nbsp2 10 B . &nbsp2 100 C . &nbsp2 1000 D . &nbsp2 10000

Answer: Option C log 2 x = 10 $\Rightarrow$ x = 2 10 . log x y = 100 y = x 100 y = (2 10 ) 100 [put value of x] y = 2 1000 .

If logx y = 100 and log2 x = 10, then the value of y&nb

Question

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

Options:

A . 2¹⁰

B . 2¹⁰⁰

C . 2¹⁰⁰⁰

D . 2¹⁰⁰⁰⁰

Answer: Option C

log ₂ x = 10 $\Rightarrow$ x = 2¹⁰.

log_x y = 100

y = x¹⁰⁰

y = (2¹⁰)¹⁰⁰ [put value of x]

y = 2¹⁰⁰⁰.

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