Log(a)b=log(c)b/log(c)a
log(a^n)(b^n)=log(a)b
nlog(a)b=log(a)b^n
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a)
log(6)4+log(6)9+1/log(6)4 *2log(6)2 +2=log(6)(4*9)+log(6)4/log(6)4+2=
=log(6)36+1+2=2+3=5
б)
log(2)10+log(2)12-log(2)30 +4=log(2)(10*12/30)+4=log(2)4+4=2+4=6
в)
log(2)6+log(2)10-log(2)15+2^log(2)5=log(2)(6*10/15)+5=log(2)4+5=2+5=7
1) 249,3:9=27,7;
2) 2,31:7=0,33;
3) 7:8=0,875;
4)0,09:100=0,0009.
(x1,y1)=(2,-4)
(x2,y2)=(-4,2)
<span> a)b^2-2b-3 дробная черта b-3 =0; ОДЗ: bне =3</span>
Log2(2x+1)=log2(3x-7)
2x+1=3x-7
x=8