Calculate the logarithm log \ 3(x^2+6x)=log(2x+12)
angielski
źródło:
log \ 3(x^2+6x)=log(2x+12)
log \ 3x(x+6)-log(2x+12)=0
log \frac{3(x^2+6x)}{2x+12}=0 , 2x+12\ne 0 \ \Rightarrow \ 2x\ne -12 \ \Rightarrow \ x \ne \ -6
\frac{3x(x+6)}{2(x+6)}=10^0
\frac{3x}{2}=1 \ |*2
3x=2
x=\frac{2}{3}