Ask Question
11 October, 16:55

When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.

Which property listed below is used in all of these proofs?

+4
Answers (2)
  1. 11 October, 18:41
    0
    the relations are:

    Ln (a*b) = ln (a) + ln (b)

    ln (a/b) = ln (a) - ln (b)

    a*ln (b) = ln (b^a)

    the relation used is:

    1) exp (a) * exp (b) = exp (a+b)

    and remember that exp (x) = y

    means that ln (y) = x

    then when we apply logaritm to both sides in the equation 1) we must have that:

    ln (exp (a) * exp (b)) = ln (exp (a+b)) = a + b

    ln (exp (a) * exp (b)) = a + b

    then

    ln (exp (a) * exp (b)) = ln (exp (a)) + ln (exp (b)) = a + b

    and you can use a similar thinking to prove the other ones, using that relationships and:

    exp (a - b) = exp (a) / exp (b)

    exp (a) ^b = exp (a*b)
  2. 11 October, 20:29
    0
    Its D on edge. logb (b^y) = y
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used. Which ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers