Question

Tolong no 17 & 18 pake cara​

Answer 1

17.)

²log(3x²-24x+26) = 3

²log(3x²-24x+26) = 3•²log(2)

²log(3x²-24x+26) = ²log(2³)

3x²-24x+26 = 2³

3x²-24x+26 = 8

3x²-24x+26-8 = 0

3x²-24x+18 = 0

dari 3x²-24x+18 = 0, diperoleh:

a = 3

b = -24

c = 18

nilai dari x₁•x₂ = ᶜ/ₐ

x₁•x₂ = ¹⁸/₃

x₁•x₂ = 6

Sehingga nilai 2•x₁•x₂

2•x₁•x₂= 2•6 = 12

Jawaban:

B. 12

18.)

⁴log(3x²-24x+37) = 2

⁴log(3x²-24x+37) = 2•⁴log(4)

⁴log(3x²-24x+37) = ⁴log(4²)

3x²-24x+37 = 4²

3x²-24x+37 = 16

3x²-24x+37-16 = 0

3x²-24x+21 = 0

dari 3x²-24x+21 = 0 diperoleh

a = 3

b = -24

c = 21

nilai dari x₁+x₂ = - ᵇ/ₐ

x₁+x₂ = -(⁻²⁴/₃)

x₁+x₂ = -(-8)

x₁+x₂ = 8

Jawaban:

B. 8