SOLUTION: Suppose that x=ln(A) and y=ln(B) . Write the following expressions in terms of x and y (so you cannot have A or B anywhere in your answers). ln(AB)= ln(A)/ln(B)= AB= Please

Question 1000305: Suppose that x=ln(A) and y=ln(B) . Write the following expressions in terms of x and y (so you cannot have A or B anywhere in your answers).
ln(AB)=
ln(A)/ln(B)=
AB=
Please help, I do not understand these. Thanks!
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.
1. ln(AB) = ln(A) + ln(B) = x + y.

     First equality is the basic property of the logarithm. Are you familiar with it?

     The second equality is true because ln(A) = x and ln(B) = y, which is given. I simply made a substitution here.

2. ln(A)/ln(B) = .

     Simply substitute x and y instead of ln(A) and ln(B) into the numerator and denominator.

3. = . .

     Since = , you have = .

     Since = , you have = .

     Then substitute this into .

That is all, my dear.

Look into my lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
in this site.

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