若2.5^x=1000,0.25^y=1000,则1/x-1/y=
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若2.5^x=1000,0.25^y=1000,则1/x-1/y=
若2.5^x=1000,0.25^y=1000,则1/x-1/y=
若2.5^x=1000,0.25^y=1000,则1/x-1/y=
2.5^x=1000
x=log2.5(1000)=3log2.5(10)=3/lg2.5
0.25^y=1000
y=log0.25(1000)=3log0.25(10)=3/lg0.25
∴1/x-1/y=(lg2.5)/3-(lg0.25)/3=[lg(2.5÷0.25)]/3=(lg10)/3=1/3
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