The equation $3^{| 3 x - 4 |} = 9^{2 x - 2}$ has the solution __________.

Open in App

Solution

$3^{3 x - 4} = 9^{9 x - 2}$
$3^{3 x - 4} = 3^{2 (2 x - 2)}$
$3 x - 4 = 4 x - 4$
$3 x - 4 x = - 4 + 4$
$- x = 0$
$x = 0$

Suggest Corrections

Similar questions

x + y + z = 2, 2 x + y - z = 3

3 x + 2 y + k z = 4

sin x + 2 sin 2 x = 3 + sin 3 x

(0, π)

\frac{2 (3 x \pm 5)}{4} = 3

x + y + z = 2

2 x + y - z = 3

3 x + 2 y + k z = 4

(1) x^{2} + 6 x + 5 = 0

(2) x^{2} - 3 x - 4 = 0

(3) 5 x^{2} + 8 x + 3 = 0

(4) 5 x^{2} - 3 x - 2 = 0

(5) 3 x^{2} + 5 \sqrt{2} x - 2 = 0

(6) x^{2} + 5 x + 3 = 0

(7) 9 x^{2} + 6 x + 4 = 0

(8) 48 m^{2} - 13 m - 1 = 0

Join BYJU'S Learning Program