1.log₅(3x+1)=2 log₅(3x+1)=log₅25 3х+1=25 3х=24 х=8
2.log₃(x+2)+log₃x=1 log₃(x+2)+log₃x=log₃3 log₃(х+2)/х=log₃3 (х+2)/х=3
х+2=3х х=1
3.ln(x2-6x+9)=ln3+ln(x+3) ln(x²-6x+9)=ln(3*(х+3))
x²-6x+9=3*(х+3)
x²-6x+9-3х-9=0
х²-9х=0
х=0 х=9
1.log₅(3x+1)=2 log₅(3x+1)=log₅25 3х+1=25 3х=24 х=8
2.log₃(x+2)+log₃x=1 log₃(x+2)+log₃x=log₃3 log₃(х+2)/х=log₃3 (х+2)/х=3
х+2=3х х=1
3.ln(x2-6x+9)=ln3+ln(x+3) ln(x²-6x+9)=ln(3*(х+3))
x²-6x+9=3*(х+3)
x²-6x+9-3х-9=0
х²-9х=0
х=0 х=9