CameraIcon

SearchIcon

MyQuestionIcon

1

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

Constant Function

The solution ...

Question

The solution of ${(25)}^{x - 2} = {(125)}^{2 x - 4}$ is

A

\frac{3}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

- 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2$
$25^{x - 2} = (125)^{2 x - 4}$
$∴ 5^{2 (x - 2)} = 5^{3 (2 x - 4)}$
$∴ 2 (x - 2) = 3 (2 x - 4)$
$∴ 2 x - 4 = 6 x - 12$
OR $4 x = 8$
Only Possible When $x = 2$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Solve for the value of

x

(25)^{x - 2} = (125)^{2 x - 4}

6 x^{4} - 25 x^{3} + 12 x^{2} + 25 x + 6 = 0

Q. The roots of the equation,

6 x^{4} - 25 x^{3} + 12 x^{2} + 25 x + 6 = 0

Q. Which of the following is/are the roots of the equation,

3 x^{4} + 25 x^{3} + 6 x^{2} + 25 x + 3 = 0

Q. Solve the equation :

6 x^{4} - 25 x^{3} + 12 x^{2} + 25 x + 6 = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Some Functions and Their Graphs

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Constant Function

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon