Daje naj 6. Niech log29 = c. Wykaż, że log354
3c+2
ייב

[tex]log_29=c\\\\log_23^2=c\\\\2log_23=c\ \ \ |:2\\\\log_23=\frac{c}{2}[/tex]
[tex]log_354=log_3(2\cdot27)=log_32+log_327=log_32+log_33^3=\\\\\frac{1}{log_23}+3log_33=\\\\\frac{1}{\frac{c}{2}}+3=\frac{2}{c}+\frac{3c}{c}=\frac{3c+2}{c}[/tex]