Cal

posted by .

Express the given quantity in a single logarithm.

ln(a + b) + ln(a - b) - 2 ln c

  • Cal -

    The sum of two logarithms is equal to the logarithm of the product, and the difference equals the quotient:
    log(A)+log(B)-log(C)
    =log(AB/C)

    Twice the logarithm of a quantity is the logarithm of the square of the quantity:
    2log(C)=log(C²)

    So if we put it all together, we get:
    log(A)+log(B)-2log(C)
    =log( AB/C²)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra 3-4

    im in a cal class but were reviewing algebra stuff now. and i have 1 more questions. it says. express the given quantity as a single loragithms 2ln4-ln2 so is it 2ln(2) please tell me if im getting the right answers and if im not then …
  2. Calculus

    express the given quantity as a single logarithm: ln(a+b)+ln(a-b)-8ln(c)
  3. Precalculus

    1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Write the given expression as a single logarithm. ln7e/(square root 2x)-ln(square root 2ex) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z)
  4. Calculus

    Write the logarithm of a single quantity: 2ln(x)+ln(4)-(1/2)ln(9)
  5. calculus

    Express the given quantity as a single logarithm. 1/3ln(x + 2)3 + 1/2[ln(x)− ln(x^2+3x+2)^2]
  6. Algebra II

    Express as a single logarithm with a coefficient of 1. Assume that the logarithms in the given problem have the same base. 4log a-3log b+5log c
  7. Calculus

    Write as a single logarithm of a single quantity ln(3)+1/2ln(x+2)-4ln(1+sqrtx)
  8. Calculus

    Write the expression as the logarithm of a single quantity. ln 2 + 1/2 ln(x +1)-2 ln(1+ x^(1/2))
  9. Math - Logarithms

    Write the following expression as a single logarithm: 4ln2x + ln(6/x) - 2ln2x So I did... 4ln2x + ln(6/x) - 2ln2x = ln2x^4 + ln(6/x) - ln2x^2 = ln16x^4 + ln(6/x) - ln4x^2 = ln16x^(2)(2) + ln(6/x) - ln4x^2 = 2ln16x^2 + ln6 - lnx - ln4x^2 …
  10. math condense logs

    write the expression as the logarithm of a single quantity 3[ln x-2 ln(x^2+1)]+2 ln 5

More Similar Questions