MyQuestionIcon

1

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

Quantitative Aptitude

Functions

If 3x-y=27 an...

Question

If $3^{x - y}$ = 27and $3^{x + y}$ = 243, then x is equal to:

A

0

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

B

2

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

C

4

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

D

6

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

E

3

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

Open in App

Solution

The correct option is C
4

$\begin{matrix} 3^{x - y} = 27 = 3^{3} & \Leftrightarrow x - y = 3 & . . . (i) 3^{x + y} = 243 = 3^{5} \Leftrightarrow x + y = 5 & . . . (i i) \end{matrix}$

On solving (i) and (ii), we get x = 4.

Suggest Corrections

thumbs-up

1

Similar questions

3^{(x - y)} = 27

3^{(x + y)} = 243

x

is equal to ____________.

3^{x - y} = 27

3^{x + y} = 243

x

3^{x - y} = 27

3^{x + y} = 243

, find the value of

x

.

3^{x - y} = 27, 3^{x + y} = 243

, what is the value of

x

?

x + y = 6

3 x - y = 4

x - y

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Functions

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Other Quantitative Aptitude

Join BYJU'S Learning Program

CrossIcon