CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Laws of Exponents for Real Numbers

Solve: 252 x...

Question

Solve:
$25^{2 x - 3} = 5^{2 x + 3}$

Open in App

Solution

$25^{2 x - 3} = 5^{2 x + 3}$
$5^{2 (2 x - 3)} = 5^{2 x + 3}$
$5^{4 x - 6} = 5^{2 x + 3}$
$⟹ 4 x - 6 = 2 x + 3$
$⟹ 2 x = 9$
$⟹ x = \frac{9}{2}$

Suggest Corrections

thumbs-up

4

Similar questions

Q. Solve the following equation:

3 - 2 (x - 2) = 5 (2 x - 3) - 2 (3 x - 1)

Q. Solve the following equations:

3 (3 x - 7) = 5 (2 x - 3)

Q. Solve the following quadratic equations by factorization method :

\frac{4}{x} - 3 = \frac{5}{2 x + 3}

x

(3 x - 2) = \frac{4}{5} (2 x - 3) + \frac{86}{15}

.

Q. Solve the following quadratic equations by factorization:

\frac{4}{x} - 3 = \frac{5}{2 x + 3}, x \neq 0, - \frac{3}{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Identities for Irrational Numbers

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Laws of Exponents for Real Numbers

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon