Matematika

Pertanyaan

Tentukan nilai x (x bilangan nyata positif)
a. ²log(2x+1)=4
b. ⁴log (4×.4)=2-x
c. log x=⅓ log 8+9 -⅓ log 27
d. ²log (x²-3x+7)=²log (3x+2)

1 Jawaban

  • a. ²log(2x+1)=4
    ²log(2x+1) = ²log2⁴
    2x + 1 = 16
    2x = 16-1 = 15
    x = 15/2 = 7½

    b. ⁴log (4×.4)=2-x
    ⁴log 4² = ⁴log^(2-x)
    2 = 2 - x
    x = 0

    d. ²log (x²-3x+7)=²log (3x+2)
    x² - 3x - 3x +7 -2 = 0
    x² -6x +5 = 0
    (x-5)(x-1) = 0
    x = 5 atau x = 1

Pertanyaan Lainnya