Find the Domain of the the following function f(x):

f(x)=log₅log₄log₃log₂X.

here, 5,4,3,2 are subscripts. but x is not.

log4log3log2(X) >0

      log3log2(x)>4^0

            log2(x)>3^1

                    x>2^3

                     x>8

 domain is(8,infinity)

for log₅log₄log₃log₂X it is defined when log4log3log2Xis >0 or log₃log₂X>1 or log₂X>3 or X>2^{3................................................................} or X>8. so domain is(8,infinite)...........

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