化简对数式子为只有一个对数符号Write each expression as a single logarithm.1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)

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化简对数式子为只有一个对数符号Writeeachexpressionasasinglelogarithm.1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)化简对数式子为只

化简对数式子为只有一个对数符号Write each expression as a single logarithm.1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)
化简对数式子为只有一个对数符号
Write each expression as a single logarithm.
1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)

化简对数式子为只有一个对数符号Write each expression as a single logarithm.1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)
1/2*ln(x^2+1)-4*ln1/2-1/2*(ln(x-4)+lnx)
=ln((x^2+1)^(1/2))-ln(1/2)^4-[1/2ln(x-4)+1/2lnx]
=ln(根号(x^2+1))-ln1/16-[ln(根号(x-4))+ln根号x]
=ln[根号(x^2+1)/(1/16)]-ln[根号(x-4)*根号x]
=ln[16根号(x^2+1)]-ln根号(x(x-4))
=ln[16根号(x^2+1)/根号(x^2-4x)]