已知f(x)= (1/2)^x,x≥4; f(x+1), x<4. 则f(log2³)=——————已知f(x)= (1/2)^x,x≥4; f(x)= f(x+1), x<4. 则f(log2³)就是[以2为底3的对数]=——————
已知f(x)= (1/2)^x,x≥4; f(x+1), x<4. 则f(log2³)=——————
已知f(x)= (1/2)^x,x≥4;
f(x)= f(x+1), x<4. 则f(log2³)就是[以2为底3的对数]=——————
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log2³f(log2³)=f(log2³+1)
log2³+1=log2(6)f(log2(6))=f(log2(6)+1)
log2(6)+1=log2(12)f(log2(12)=f(log2(12)+1)
log2(12)+1=log2(24)>4
f(log2(24)=(1/2)^log2(24)=1/24
即
f(log2³)=1/24
1
f(log2 3)=f(log2 3 +1)