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Question

Solve the following inequality:
(0.5)log3log1/5(x245)<1

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Solution

2log3log1/5(x245)<1
Taking log2 both sides
log3log1/5(x245)<0log3log1/5(x245)>0log1/5(x245)>1log(x245)log5>1log(x245)>log5log(x245)<log15(x245)<15x21<0x(1,1)
Also, (x245)>0
x(,25)(25,)
Taking intersection , we get x(1,25)(25,1)

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