CameraIcon

SearchIcon

MyQuestionIcon

1

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

Cube Root Using Prime Factorisation

If 3x=270, ...

Question

If $3^{x} = 270$ , then find $3^{x - 3}$ .

Open in App

Solution

Given, $3^{x} = 270$ .
Now,
$3^{x - 3}$
$= \frac{3^{x}}{3^{3}}$
$= \frac{270}{27}$ [ Using value of $3^{x}$ ]
$= 10$ .

Suggest Corrections

thumbs-up

0

Similar questions

3 x + \frac{1}{3 x} = 3

9 x^{2} + \frac{1}{9 x^{2}}

3 x + \frac{1}{3 x} = 3

27 x^{3} + \frac{1}{27 x^{3}}

.

3^{x} = 6561,

3^{x - 3}

y = {tan}^{- 1} \frac{3 x - x^{3}}{1 - 3 x^{2}}

\frac{d y}{d x}

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

then find the value of

\frac{x^{2} + y^{2}}{x^{2} - y^{2}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Cube Roots PF

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Cube Root Using Prime Factorisation

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon