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

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pavan_GMAT tagged this post with: gmat problem solving, GMAT Quantitative, GMAT Question of the Day Read 1 articles by pavan_GMAT

1. Patel says:

   June 10, 2008 at 10:50 am

   10/3
2. kapil dhawan says:

   June 10, 2008 at 10:05 pm

   pleas give the explanation of this problem
3. Richa says:

   June 11, 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.
4. pavan says:

   June 11, 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
5. tat says:

   June 11, 2008 at 9:24 am

   ans is 10/3
6. Navya says:

   June 12, 2008 at 2:10 pm

   Ans is 10/3
7. Tapas says:

   August 31, 2009 at 6:37 pm

   10/3