2x*log(5)+7*log(5) = 5x*log(3)-1*log(3) ordnen ! x-er nach links !
2x*log(5)-5x*log(3) = -log(3)-7*log(5) | mal (-1) und x ausklammern !
x(5*log(3)-2*log(5)) = log(3)+7*log(5) durch die linke Klammer dividieren !
x = $${\frac{\left({log}_{10}\left({\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{3}}\right){\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}}$$ = 5,436969....
x = $${\frac{\left({log}_{10}\left({\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{3}}\right){\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}}$$
2x*log(5)+7*log(5) = 5x*log(3)-1*log(3) ordnen ! x-er nach links !
2x*log(5)-5x*log(3) = -log(3)-7*log(5) | mal (-1) und x ausklammern !
x(5*log(3)-2*log(5)) = log(3)+7*log(5) durch die linke Klammer dividieren !
x = $${\frac{\left({log}_{10}\left({\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{3}}\right){\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{log}_{10}\left({\mathtt{5}}\right)\right)}}$$ = 5,436969....