Question

Bantu kk... :) thank's

Answer 1

Verified answer

Mapel : Matematika Peminatan
Kelas : X SMA
Materi : Persamaan Eksponen

Pembahasan :
6^(x + 2) = 36^(x + 2)
6^(x + 2) = (6²)^(x + 2)
6^(x + 2) = 6^(2x + 4)
x + 2 = 2x + 4
2x - x = 2 - 4
x = -2

Hp : {-2}

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4^(x + 2) = 16^(x + 5)/4
4^(x + 2) = (4²)^(x + 5)/4
4^(x + 2) = 4^(x + 5)/2
x + 2 = (x + 5)/2
2x + 4 = x + 5
2x - x = 5 - 4
x = 1

Hp : {1}

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5^(x - 5)/2 = 1
5^(x - 5)/2 = 5°
(x - 5)/2 = 0
x - 5 = 0
x = 5

Hp : {5}

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(√10)^(x - 2) = 0,1
(10^1/2)^(x - 2) = 10^(-1)
10^(x - 2)/2 = 10^(-1)
(x - 2)/2 = -1
x - 2 = -2
x = 0

Hp : {0}

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2^(x + 3)/2 = (1/4)^(x + 4)
2^(x + 3)/2 = [2^(-2)]^(x + 4)
2^(x + 3)/2 = 2^(-2x - 8)
(x + 3)/2 = -2x - 8
x + 3 = -4x - 16
x + 4x = -16 - 3
5x = -19
x = -19/5

Hp : {-19/5}

Answer 2

Verified answer

Bab Eksponensial
Matematika SMP Kelas IX

1] 6^(x + 2) = 36^(x + 2)
    6^(x + 2) = 6^(2 (x + 2))
    x + 2 = 2x + 4
    x - 2x = 4 - 2
    -x = 2
    x = -2

2] 4^(x + 2) = ⁴√(16^(x + 5))
    4^(x + 2) = 4^(2(x + 5)/4)
    x + 2 = (x + 5)/2
    2 (x + 2) = x + 5
    2x + 4 = x + 5
    2x - x = 5 - 4
    x = 1

3] √(5ˣ⁻⁵) = 1
    5^((x - 5)/2) = 5^0
     (x - 5)/2 = 0
     x - 5 = 2 . 0
     x = 0 + 5
     x = 5

4] (√10)^(x - 2) = 0,1
    10^((x - 2)/2) = 10^(-1)
    (x - 2)/2 = - 1
    x - 2 = -1 . 2
    x = -2 + 2
    x = 0

5] √(2^(x + 3)) = (1/4)^(x + 4)
    2^((x + 3)/2) = 2^(-2(x + 4))
    (x + 3)/2 = -2x - 8
    x + 3 = 2 (-2x - 8)
    x + 3 = -4x - 16
    x + 4x = -16 - 3
    5x = -19
    x = -19/5