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1 solution
log4X(logX) = log(625)
[log(100X)-log(25)] (logX) = 2log(25)
[log(100)+log(x)-log(25)] (logX)=2log(25)
2logX+(logX)(logX)-(logX)(log25)-2log(25) = 0
logX(2+logX)-log(25)[logX+2] = 0
(logX+2)(logX-log25) = 0
logX = -2
X1 = 1/100
logX = log25
X2 = 25
1/X1 * 1/X2 = 100 * 1/25 = 4