求不等式log1/2(X-2)+log1/2(4-X)>0的解集

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求不等式log1/2(X-2)+log1/2(4-X)>0的解集求不等式log1/2(X-2)+log1/2(4-X)>0的解集求不等式log1/2(X-2)+log1/2(4-X)>0的解集log1

求不等式log1/2(X-2)+log1/2(4-X)>0的解集
求不等式log1/2(X-2)+log1/2(4-X)>0的解集

求不等式log1/2(X-2)+log1/2(4-X)>0的解集
log1/2(X-2)+log1/2(4-X)=log1/2(X-2)(4-X)>0
即0＜(X-2)(4-X)＜1
解得2

log1/2{(X-2)*(4-X)}>0 则 0<(X-2)(4-X)<1 解得 2