假設a>b>0, log2(a-2b)=3.8, log2a+log2b=7.6, 下列何者正確?
其中有一選項: 103<ab<104
我的解法:
log2(a-2B)=3.8
log2a+log2b=log2ab=7.6
=>logab/log2=7.6
=>logab=7.6*log2
=>logab=7.6*0.3010
=>logab=2.2876
=>ab=102.2876
請問我這樣做正確嗎?