interesting log problem

log base 2n 1944 = log base n (486* (2)^1/2)

find n^6

  1. 👍 0
  2. 👎 0
  3. 👁 471
  1. Let logbase2n 1944 = x

    (2n)^x = 2^x * n^x = 1944

    n^x = 486*2^1/2

    2^x * 486*2^1/2 = 1944
    2^x = 4*2^-1/2 = 2^3/2
    Therefore x = 3/2

    logbase2n 1944 = 3/2

    (2n)^3/2 = 1944
    Take the 2/3 power of both sides
    2n = 155.76
    n = 77.88

    n^6 will be quite large.

    See if you agree. I may have goofed somewhere

    1. 👍 0
    2. 👎 0
  2. sounds quite right to me. thanks!

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    If log (base b) 3 = 1.099 and log (base b) 6 = 1.792, find log (base b) 18 = ???

  2. Math

    What are the possible solutions of 2 log base 2 𝒂 = 10 − 2 log base 2 𝒃, where 𝒂 and 𝒃 are integers? Show work.

  3. Math

    can someone please look over this and tell me if I made a mistake? log with a base of 3(−9) = 2x -log with a base of 3(9) = 2x -2=2x x=-1 I'm pretty sure I did it right but just incase please look over and let me know if and

  4. math

    Given that 2 log base2 (x+15) - log base2 x = 6 1.Show that x^2 -34x +225 = 0 2. Hence or otherwise solve the equation 2 log base 2 (x+15) - log base 2 x =6

  1. Chemistry

    Strong base is dissolved in 535 mL of 0.200 M weak acid (Ka = 3.16 × 10-5) to make a buffer with a pH of 4.04. Assume that the volume remains constant when the base is added. HA (aq)+ OH^-(aq) -> H2O(l) + A^-(aq) Calculate the

  2. math(Please help)

    1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

  3. precalc

    Suppose that u=log(2) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any log's. a) log(0.4)= b) log(0.08)= c) log(2500)=

  4. Math

    Help with these problems would be greatly appreciated: 1.Find the definite integral of dx/(x(1+ln(x))from e^6 to 1. 2. Solve for x in terms of k for log[2,x^6)+log[2,x^10=k. (its log base 2) 3.Solve log base 3(log base 3, x)=-2

  1. precalc help

    Find the exact value without a calc 1. log base 3 of 8 times log base 8 of 9. I started by changing both bases to 10 but don't know what to do from there. 2. e ^ log base e^2^9. I hope that isnt confusing. My teacher said we are

  2. math

    Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25)

  3. Logarithms

    Prove that log base a of x divided by log base a/b of x is equal to 1+log base a of(1/b) Where do I start?

  4. Mathematics

    Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2 - Log ar= Log ar - Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then cross-multiply hence a^2r^2

You can view more similar questions or ask a new question.