Home work~急若a>0,b>0,ab>1,log1/2 a=ln2,则loga b与log1/2 a的关系?
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Homework~急若a>0,b>0,ab>1,log1/2a=ln2,则logab与log1/2a的关系?Homework~急若a>0,b>0,ab>1,log1/2a=ln2,则logab与log
Home work~急若a>0,b>0,ab>1,log1/2 a=ln2,则loga b与log1/2 a的关系?
Home work~急
若a>0,b>0,ab>1,log1/2 a=ln2,则loga b与log1/2 a的关系?
Home work~急若a>0,b>0,ab>1,log1/2 a=ln2,则loga b与log1/2 a的关系?
log(1/2,a) = ln(a)/-ln2 = ln2
ln(a) = -(ln2)^2 < 0
log(a,b) - log(1/2,a) = ln(b)/ln(a) - ln2
= - ln(b)/(ln2)^2 - ln2
= -(ln(b) + (ln2)^3)/(ln2)^2
ln(b) < -(ln2)^3 的时候,log(a,b) > log(1/2,a)
ln(b) = -(ln2)^3 的时候,log(a,b) = log(1/2,a)
ln(b) > -(ln2)^3 的时候,log(a,b) < log(1/2,a)
祝你学习天天向上,加油!1
log(1/2,a) = ln(a)/-ln2 = ln2
ln(a) = -(ln2)² < 0
∴00
又ab>1
∴b>1
∴loga b<0
∴loga b<0
不过homework最好还是自己做,我一般的选择都是不会就只问同学
a=(1/2)^(ln2)
a*b>1
b/(2^ln2)>1
因为ln2>0
2^ln2>1>0
b>2^ln2>1
a<1
所以log(a)b=-log(a^-1)[b]<0
而log(1/2)[a]=ln2>0>log(a)b
Home work~急若a>0,b>0,ab>1,log1/2 a=ln2,则loga b与log1/2 a的关系?
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