Найти x

1) log ₂ x = 3

2) log ₂ x = - 2

3) log ₀,₂ x = 4

4) log ₇ x = 1/3

5) log ₀ (14-4x) = log ₆ (2x+2)

6) log ₀,₂ (12x + 8) = log ₀,₂ (11x + 7)

7) log ₃ (x² + 6) = log₃ 5x

8) log (x² - 6) = log (8+5x)

9) log (x²+8) = log (2 - 9x)

10) log₃ (x² - 11x + 27) = 2

1) 2^3=x

x=8

2) 2^ (-2) = x

x=1/2^2=1/4

x=0,25

3) 2^4=x

x=16

4) ? 1^1/3=x

x=1

5) ? 14-4x=2x+2

-4x-2x=2-14

-6x=-12

x=2

6) ? 12x+8=11x+7

12x-11x=7-8

x=-1

7) x^2+6=5x

x^2-5x+6=0

по теореме Вието

х1+х2=-p = - (-5) = 5

x1*x2=q=6

x1=3

x2=2

8) x^2-6=8+5x

x^2-5x-14=0

по теореме Вието

х1+х2=-р = - (-5) = 5

x1*x2=q=-14

x1=7

x2=-2

9) x^2+8=2-9x

x ^2+9x+6=0

D=9^2-4*1*6=81-24=57

x1 = (-9+√57) / 2

x1 = (√57-9) / 2

x2 = (-9-√57) / 2

x2 = - (√57+9) / 2

10) 3^2=x^2-11x+27

x^2-11x+27-9=0

x^2-11x+18=0

По теореме Вието

x1+x2=-p = - (-11) = 11

x1*x2=q=18

x1=9

x2=2