Math

(I have two questions)

1. Solve for x without a calculator:
log3(x^2)=2log3(4)-4log3(5)

This is what I have so far:
2log3(x)=log3(4^2)-log3(5^4)
2log3(x)=log3(16/625)
...and now I'm stuck.

2. Simplify:
2log4(9)-2log3 <--how do you simplify with different bases?

Thanks!

  1. 👍
  2. 👎
  3. 👁
  1. from
    2log3(x)=log3(16/625)
    log3 (x^2) = log3 (16/625
    so x^2 = 16/625
    x = √(16/625) = 4/25

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    express log9 in terms of log3 x and log3 y and solve for x and y simultaneously

  2. calculus

    1) Solve for x in terms of k: log3(x) + log3(x+7) = k; 3 is the base 2) e^(x+5) = e^(x) + 6, solve for x. Please help, I have no idea how to do these and I've tried several times!

  3. Basic mathematics

    2log3 5+log3 30+3log3 6

  4. Math

    Given that x=log3^5 and y=log3^2, rewrite log3^60 in terms of x and y.

  1. mathematics

    Given that log5 3=0.683 and log5 7=1.209.without using calculator,evaluate (a) log5 1.4 b)log7 75 c) log3 125

  2. trig

    solve for x log4 64+ log2 2 ________________ =x log3 81

  3. Math

    Solve simultaneously log (x-1)+2logy=2log3 and logx+logy=log6

  4. Math

    A student takes a true-false test exam with 10 questions. If the student guesses all ten questions, find the probability he gets 7 or 8 right. p(x=7) + p(x=8) (.5)^7(.5)^3 + (.5)^8(.5)^2 I have the correct answers which are

  1. Calculus (Help please!)

    (Re-posting because I think the first one got lost in all the questions) This isn't a test or assignment, it's a review for studying. I'm trying to catch up in my lesson as I have fallen quite behind due to health issues. I'm here

  2. Pre Calculus

    Evaluate the function f(x) = log3 x at x =1/27 without using a calculator a. –4 b. –2 c. 1/27 d. –3 e. 27

  3. Maths

    Solve the equation 3log3 x-log3 x=2?

  4. Trigonometry

    log3(x^2)=2log3(4)-4log3(5)

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