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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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]=——————

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]=——————
1

f(log2 3)=f(log2 3 +1)

log2³<4
f(log2³)=f(log2³+1)
log2³+1=log2(6)<4
f(log2(6))=f(log2(6)+1)
log2(6)+1=log2(12)<4=log2(16)
f(log2(12)=f(log2(12)+1)
log2(12)+1=log2(24)>4
f(log2(24)=(1/2)^log2(24)=1/24

f(log2³)=1/24

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