Got a Question ?
        Ask your queries directly to ISB Admission Cell

                                                                                                                                                                                                                            Ask here
Home | Answer | Forum | Blog | Wiki | Online Tutoring | GMAT Coaching | Correspondance Course | Contact Us

Problem solving

If 3^(6x) = 8100, what is the value of (3^(x-1))^3?

A.90

B.30

C.10

D.10/9

E.10/3

Written by pavan_GMAT on May 31st, 2008 with 6 comments.
Read more articles on GMAT Question of the Day.

Related articles

6 comments

Read the comments left by other users below, or:

Get your own gravatar by visiting gravatar.com Patel
#1. June 10th, 2008, at 10:50 AM.

10/3

Get your own gravatar by visiting gravatar.com kapil dhawan
#2. June 10th, 2008, at 10:05 PM.

pleas give the explanation of this problem

Get your own gravatar by visiting gravatar.com Richa
#3. June 11th, 2008, at 7:50 AM.

10/3
3^6x=8100, we get the value of x=100/9
then we substitue the value of x in the other equation.
Incase there is any other way of solving this problem please share.

Get your own gravatar by visiting gravatar.com pavan
#4. June 11th, 2008, at 9:09 AM.

3^6x = 8100

therefore, 3^3x * 3^3x = 90 * 90
from above we can say, 3^3x = 90 ——————————-i

the reqd eqn, is (3^(x-1))^3 => 3^3x - 3^3 => 3^3x/ 27 ——- ii

from i & ii, sub 3^3x, so 3^3x/ 27 = 90/27 =>

10/3 ……… answer E …….

I’ve posted the question from previous GMAT test paper

Get your own gravatar by visiting gravatar.com tat
#5. June 11th, 2008, at 9:24 AM.

ans is 10/3

Get your own gravatar by visiting gravatar.com Navya
#6. June 12th, 2008, at 2:10 PM.

Ans is 10/3

Leave your comment...

If you want to leave your comment on this article, simply fill out the next form:




You can use these XHTML tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong> .