解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!

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解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!解不等式:log2x+log(1/2)(x-2)>1.2

解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!
解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!

解不等式:log2x+log(1/2)(x-2)>1.2和1/2是底数!
x-2>0,x>2
log2x+log(1/2)(x-2)>1
log(2)x+log(2)1/(x-2)>1
log(2)x/(x-2)>1
x/(x-2)>2
x>2x-4
x

log2x+log(1/2)(x-2)>1
lgx/lg2+lg(x-2)/lg1/2>1
lgx/lg2-lg(x-2)/lg2>1
lgx-lg(x-2)>lg2
lgx/x-2>lg2
x/x-2>2
x-2x+4/x-2>0
-x+4/x-2>0
x-4/x-2<0
2所以不等式的解为2