Matematika

Pertanyaan

hitunglah nilai x!
a. Vx+3=5
b.V2x-5+2=7
c.4^x+3=8^2x-1
d.(10)^x-2=0,1

V= akar
^= pangkat
dijawab pakek cara yah

1 Jawaban

  • a.
    Vx + 3 = 5
    Vx = 5 - 3
    Vx = 2
    x = 2^2
    x = 4

    b.
    V(2x - 5) + 2 = 7
    V(2x - 5) = 7 - 2
    V(2x - 5) = 5
    2x - 5 = 5^2
    2x - 5 = 25
    2x = 25 + 5
    2x = 30
    x = 30/2
    x = 15

    c.
    4^(x + 3) = 8^(2x - 1)
    (2^2)^(x + 3) = (2^3)^(2x - 1)
    2^(2×(x + 3)) = 2^(3×(2x - 1))
    2^(2x + 6) = 2^(6x - 3)
    2x + 6 = 6x - 3
    2x - 6x = -3 - 6
    -4x = -9
    x = -9/-4
    x = 9/4

    d.
    (10)^(x - 2) = 0,1
    (10)^(x - 2) = 1/10
    (10)^(x - 2) = (10)^(-1)
    x - 2 = -1
    x = -1 + 2
    x = 1

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