1) log/2 (4 - x) =8 2) log/2 (3 + x) =3 3) log/13 (17 + x) = log/13 3 4) log/8 (x + 6) =...

Question

1) log/2 (4 - x) =8
2) log/2 (3 + x) =3
3) log/13 (17 + x) = log/13 3
4) log/8 (x + 6) = log/8 (4x - 9)
5) log/(одна вторая) (8 - 4x) = -4
6) log/3 (x^2 + x + 3) = 2
7) log/x+5 36 = 2

Answer 1

1)log/2 (4 - x) =8⇒2(в степени 8)=4-х⇒х=2(в степени 8)+4=256+4=260
2)log/2 (3 + x) =3⇒2³=3+х⇒х=5
3)log/13 (17 + x) = log/13 3⇒17+х=3⇒х=-14
4)log/8 (x + 6) = log/8 (4x - 9)⇒х+6=4х-9⇒3х=15⇒х=5
5)log/(одна вторая) (8 - 4x) = -4⇒1\2(в степени -4)=8-4х⇒2(в степени 4)=8-4х⇒4х=8-16⇒х=-2
6)log/3 (x^2 + x + 3) = 2⇒3²=х²+х+3⇒х²+х-6=0⇒х1=2,х2=-3
7)log/x+5 36 = 2⇒(х+5)²=36⇒х+5=6⇒х=1