логаритъм

[Гост]

Да се изрази числото [tex]\x = log_{3} 6[/tex] чрез [tex]a = \log_{6} 2[/tex]

[ammornil]

[tex]\log_{3}{6}=\frac{1}{\log_{6}{3}}=\frac{1}{\log_{6}{\left(2\cdot{\frac{3}{2}}\right)}}=\frac{1}{\log_{6}{2}+\log_{6}{\left(\frac{3}{2}\right)}}=\frac{1}{a+\log_{6}{\left(\frac{3}{2}\right)}}[/tex]