1)2*4^x+1-2^x+1-1=0 2*(2^x+1)^2-2^x+1-1=0 t=2^x+1 2t^2-t-1=0 d=1+8=9 vd=3 t1=1-3/4=-1/2 t2=1 2^x+1>0 =>t1=-1/2не уд.одз 2^x+1=1 x+1=0 x=-1
2) 3^2x-3-9^x-1+3^2x=675 3^2x/27-3^2x/9+3^2x=675 3^2x(1/27-1/9+1)=675
3^2x*25/ 27=675 3^2x=675*27/25=27^2 3^2x=(3^3)^2=3^6 2x=6 x=3
4) 4log5(x)+logx(5)-5=0 4log5(x)+1/(log5(x))-5=0 t=log5(x)
4t+1/t-5=0 4t^2-5t+1=0 d=25-4*4*1=25-16=9 vd=3 t1=5-3/8=2/8=1/4 t2=8/8=1
log5(x)=1/4=0.25 x=5^1/4
log5(x)=1 x=5
3) ( 2x-1)^2=3.5x^2-2.5x 0.5x^2-1.5x+1=0 /0.5 x^2-3x+2=0 d=9-8=1 x1=3-1/2=1 x2=3+1/2=2