MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Powers and Exponents

Solve the fol...

Question

Solve the following equation:
$9^{| 3 x - 1 |} = 3^{8 x - 2}$

Open in App

Solution

$9^{∣ 3 x - 1 ∣} = 3^{8 x - 2}$
$3^{2 ∣ 3 x - 1 ∣} = 3^{8 x - 2}$
$∣ 3 x - 1 ∣= 4 x - 1$
$3 x - 1 = \pm (4 x - 1)$
$⟹ x = 0, \frac{2}{7}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following equations:

8 + 9 \sqrt{(3 x - 1) (x - 2)} = 3 x^{2} - 7 x

Q. Solve the following equations:

x^{4} + \frac{8}{9} x^{2} + 1 = 3 x^{3} + 3 x

Q. Solve the following equation:

\frac{4}{5} (x + \frac{5}{6}) + \frac{2}{3} (x - \frac{1}{4}) = 1 \frac{1}{9}

Q. Solve the following equation:

\sqrt{3 x + 1} + \sqrt{x + 4} = \sqrt{9 - x}

Q. Solve the following equations.

{2.3}^{x + 1} - {6.3}^{x - 1} - 3^{x} = 9

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Powers and Exponents

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon