Question

If logx y = 100 and log2 x = 10, then the value of y is:
A.210
B.2100
C.21000
D.210000

Answer 1

Please see the attachment

Answer 2

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

Given,

$log_xy = 100$

using log properties, we get,

$\Rightarrow y = x^{100}$ .........(1)

$log_2 x = 10$

using log properties, we get,

$\Rightarrow x = 2^{10}$  .........(2)

substituting the value of equation (2) in equation (1), we get,

$y = (2^{10})^{100}$

$\therefore y = 2^{1000}$

Option C is correct.