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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7 Comments Post a Comment
  1. Patel says:

    10/3

  2. kapil dhawan says:

    pleas give the explanation of this problem

  3. Richa says:

    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:

    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:

    ans is 10/3

  6. Navya says:

    Ans is 10/3

  7. Tapas says:

    10/3

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