Question 937165

{{{2log((3.45))+2log ((x))=7}}}


{{{log((3.45^2))+log ((x^2))=7}}}


{{{log((3.45^2*x^2))=7}}}


{{{log((3.45^2*x^2))/log((10))=7}}}


{{{log((3.45^2*x^2))=7log((10))}}}


{{{log((3.45^2*x^2))=log((10^7))}}}....if log same, then


{{{3.45^2*x^2=10^7}}}


{{{x^2=10^7/3.45^2}}}


{{{x^2=10000000/11.9025}}}


{{{x^2=840159.6303297626549044318420499894980046208779668136946019743}}}


{{{x^2= sqrt(840159.6303297626549044318420499894980046208779668136946019743)}}}


{{{x=916.6022203386606759417082737486140677447985911087585005384071}}} round it


{{{x = 916.602}}}

if you check this solution you will get {{{2log((3.45))+2log (( 916.602))=7.000000}}}

if you round it to one decimal place,{{{x = 916.6}}}, you will get {{{2log((3.45))+2log (( 916.6))=6.999998}}}