3^x=2^x,求x.5^(x-1)·10^3x=8^x求x

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3^x=2^x,求x.5^(x-1)·10^3x=8^x求x

3^x=2^x,求x.5^(x-1)·10^3x=8^x求x
3^x=2^x,求x.5^(x-1)·10^3x=8^x求x

3^x=2^x,求x.5^(x-1)·10^3x=8^x求x
3^x=2^x
两边除2^x
(3/2)^x=1
x=0
5^(x-1)*10^3x=8^x
5^(x-1)*(5*2)^3x=5^(x-1)*5^3x*2^3x=(2^3)^x
所以5^(x-1)*5^3x=1
5^(x-1+3x)=5^0
x-1+3x=0
x=1/4

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