Pre-Calc

posted by .

Hi, I need help writing
log(x^2-9)-log(x^2+7x+12) as a single logarithm. Thankyou!

since there is a subtraction sign in between that means you divide the two terms...so it would be log(x^2-9/x^2+7x+12) you can go further and factor the two...so by factoring you get log[(x-3)(x+3)/(x+3)(x+4)] the cancel out the terms remaing log[x-3/x+4]...is that helpful?

yes very helpful! Thankyou

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Bases

    What is 12 base 5? Would you just divide 12 by five and get 2 (but then what about the remainder) If you are refering to logs, 12 base 5 means log of 12 to the base 5. Call it x. 5^x = 12. x = log 12/log 5 (any log base can be used)
  2. math

    write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these …
  3. Mathematics

    Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct?
  4. Math Help Please

    Which of the following expressions is equal to log (x sqrt-y)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z)
  5. 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) …
  6. Algebra

    How would I write 1-2log(7)x as a single logarithm Choices: log(7) x^2/7 log(7) 7x^2 log(7) 7/x^2 log (7) x^2 Thank you
  7. college algebra

    Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4 - log x^3 4 log (x+3) - 5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.
  8. Advanced Functions/ Precalculus Log

    1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). …
  9. Algebra 2

    How is the expression log 32 - log 8 written as a single logarithm?
  10. Math (pre-celc 12)

    Write the expression as a single logarithm: 3log(a)-log(b)-(1/2)log(c) I want to check my answer. I got log(a^3/bc^(1/2))

More Similar Questions