Question

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Answer 1

Penjelasan dengan langkah-langkah:

1). 2^(x² - 3x) = 16

2^(x² - 3x) = 2⁴

x² - 3x = 4

x² - 3x - 4 = 0

x² - 4x + x - 4 = 0

x(x - 4) + (x - 4) = 0

(x + 1)(x - 4) = 0

x1 = -1 atau x2 = 4

.

2). 25^(x + 2) = 5

(5²)^(x +2) = 5¹

2(x + 2) = 1

2x +4 = 1

2x = 1-4

2x = -3

x = -3/2

.

3). 2^(4x -5) > 8^(2x + 7)

2^(4x - 5) > (2³)^(2x + 7)

4x -5 > 6x + 21

4x - 6x > 21+5

-2x > 26

x > -26/2

x > - 13

.

4). 9^(4x² + 17x - 15) = 12^(4x² + 17x -15)

4x² + 17x - 15 = 0

(4x - 3)(x + 5) = 0

x1 = 3/4 atau x2 = -5