m=lg2/lg3 n=lg5/lg3so, m*lg5=n*lg2=n*(lg10-lg5)=n*(1-lg5)hence, lg5=n/(n+m)(3x+1)*lg(3/5)=(x-3)*lg(5/3)x(3lg(3/5)-lg(5/3))=-3lg(5/3)-lg(3/5)x(3lg3-3lg5-lg5+lg3)=-3lg5+3lg3-lg3+lg5x(4lg3-4lg5)=2lg3-2l...
m=lg2/lg3 n=lg5/lg3so, m*lg5=n*lg2=n*(lg10-lg5)=n*(1-lg5)hence, lg5=n/(n+m)(3x+1)*lg(3/5)=(x-3)*lg(5/3)x(3lg(3/5)-lg(5/3))=-3lg(5/3)-lg(3/5)x(3lg3-3lg5-lg5+lg3)=-3lg5+3lg3-lg3+lg5x(4lg3-4lg5)=2lg3-2l...