CameraIcon

SearchIcon

MyQuestionIcon

1

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

Exponential Representation for Irrational Numbers

If 5 x + 5 ...

Question

If $5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 625$ Find $x$ .

Open in App

Solution

$5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 625$
$⟹ 5 \times 5^{x} = 5^{4}$
$⟹ 5^{x + 1} = 5^{4}$
$⟹ x + 1 = 4$
$⟹ x = 3$

Suggest Corrections

thumbs-up

3

Similar questions

5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x}

Q. Find the value of

x

5^{x} + 5^{x + 1} + 5^{x + 2} = 775

x

:

l o g 4 {(\sqrt{5})}^{x} = 625

5^{x} + 5^{x} + 5^{x} + 5^{x} + 5^{x} = 5

5 x + \frac{1}{5 x} = 23

5 x - \frac{1}{5 x} = 17

, find the value of

25 x^{2} - \frac{1}{25} x^{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

Exponential Representation for Irrational Numbers

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon