5. 下列何者與log1+ log 2+ log 3 +log 4+ log 5− log 6 的值最為接近? ( 已知log 2的值約為0.301,而log 3的值約為0.4771 )
(A) 0.1
(B) 1.5
(C) 5.3
(D) 6.2 ˉ

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統計: A(14), B(109), C(25), D(8), E(0) #588171

詳解 (共 2 筆)

#2567194
log1=0,log2=0.3010,log3=0.4771,log4=2log2=0.3010*2=0.6020,log5=log10/2=1-0.3010=0.6990(log10=1),log6=log2+log3=0.3010+0.4771=0.7781 0+0.3010+0.4771+0.6020+0.6990—0.7781=1.301
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#1033013
log1=0  log2=0.3  log3=0.4 log4=0.601 log5=0.699 加起來=2.00 log6=0.7781 
所以 2.00-0.7781=1.3左右 
答案最接近的就是B選項 
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