Question

Алгебра, логарифмы, пожалуйста, помогите

Answer 1

!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

$5*(frac{5}{6})^{x-1} - 9*(frac{6}{5} )^{x}+3=0\\5*frac{6}{5}*(frac{5}{6})^{x}-9*(frac{6}{5})^{x}+3=0\\6*(frac{5}{6})^{x} -9(frac{6}{5})^{x}+3=0\\(frac{5}{6} )^{x}=m,m>0$

$6m-frac{9}{m}+3=0\\6m^{2}+3m-9=0\\2m^{2}+m-3=0\\D=1^{2} -4*2*(-3)=1+24=25=5^{2}\\m_{1}=frac{-1+5}{4}=1\\m_{2}=frac{-1-5}{4}=-1,5<0\\(frac{5}{6})^{x}=1\\(frac{5}{6})^{x} =(frac{5}{6})^{0} \\x=0$