2^3x*3^x-2^(3x-1)*3^(x+1)=-288 2^3x*3^x-2^3x/2*3^x*3=-288 2^3x*3^x-1.52^3x*3^x=-288 -0.5*(8^x*3^z)=-288*(-2) ( 8*3)^x=576 24^x=576 24^x=24^2 x=2
г) 0.2^(x-0.5)/v5=5*0.04^(x-1) 0.2^x/(0.2^5)*v5=5*0.04^x/0.04 0.2=1/5
1/5^x/(V(1/5)*v5=(5*100/4)*0.04^x (1/5)^x=125*(1/25)^x 125(1/5)^2x-(1/5)^x=0
(1/5)^x*(125*(1/5)^x-1)=0 1/5^x не=0 никогда => 125(1/5)^x-1=0 125(1/5)^x=1
1/5^x=1/125=1/5^3 x=3
6*4^x-13*6^x+6*9^x=0 /6 2^2x-13/6*3^x*2^x+3^2x=0/(3^2x) (2/3)^2x-13/6(2/3)^x+1=0
t=(2/3)^x t^2-13/6t+1=0 D=169/36-4*1=169-144/36=25/36 VD=+-5/6 t1=(13/6-5/6)/2=8/6/2=4/3/2=2/3 t2=13+5/6/2=18/6/2=3/2=(2/3)^-1 => 2/3^x=2/3 x=1 (2/3)^x=(2/3)^-1 x=-1