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设a,b为正数,且a-2ab-9b= 0,求lg(a+ab-6b)-lg(a+4...

设a,b为正数,且a6ec8aac122bd4f6e-2ab-9b6ec8aac122bd4f6e= 0,求lg(a6ec8aac122bd4f6e+ab-6b6ec8aac122bd4f6e)-lg(a6ec8aac122bd4f6e+4ab+15b6ec8aac122bd4f6e)的值.

 

- 【解析】由a-2ab-9b= 0,得()-2()-9 = 0, 令= x>0,∴x-2x-9 = 0,解得x =1+,(舍去负根),且x= 2x+9, ∴lg(a+ab-6b)-lg(a+4ab+15b) = lg= lg= lg = lg= lg= lg= lg=-.
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