college algebra

posted by .

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.

  • college algebra -

    You are going to use 3 man rules of logs

    1. log(A/B) = logA - logB
    2. Log(AB) = logA + logB
    3. log A^n = nlogA

    log 3√x + log x^4 - log x^3
    = log 3 + log x^(1/2) + 4logx - 3logx
    = log3 + (1/2)logs + logx
    = log3 + (3/2)logx

    2.

    4 log (x+3) - 5 log (x^2+4) + 1/3 log y
    = log (x+3)^4 - log (x^2+4)^5 + log y^(1/3)

    = log [ y^(1/3) (x+3)^4 /(x^2+4)^5 ]

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Algebra 2

    how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 1 then 2 Log (-2X) = 1 then (2 Log (-2X) = 1)(1/2) Log (-2X) = 1/2 then (Log (-2X) …
  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(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!
  6. 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) …
  7. Trigonometry

    This is a logs question If u=x/y^2, which expression is equivalent to log u?
  8. algebra

    Write expression as one logarithm and simplify if appropriate. log 3√x+log x^4-log x^3 Need help solving we haven't really gone over this yet.
  9. 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). …
  10. Algebra 2

    How is the expression log 32 - log 8 written as a single logarithm?

More Similar Questions