# SOLUTION: Hello, I am having a problem with figuring this problem. I have been trying to figure out how you come up with the answers and how to solve it. Ln(12000 divided by 25000) Thi

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Hello, I am having a problem with figuring this problem. I have been trying to figure out how you come up with the answers and how to solve it. Ln(12000 divided by 25000) Thi      Log On

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 Algebra: Numeric Fractions Solvers Lessons Answers archive Quiz In Depth

 Question 84553: Hello, I am having a problem with figuring this problem. I have been trying to figure out how you come up with the answers and how to solve it. Ln(12000 divided by 25000) This is underlined and underneath is 0.075 Thanks for your help MichelleAnswer by bucky(2189)   (Show Source): You can put this solution on YOUR website!If I understand your problem correctly, it is: . . If this is your problem, the first thing you can do is to cancel the zeros in the numerator with those of the denominator to get: . . You can now recognize that you are taking the natural logarithm of a division. By the rules of logarithms you can write this as the difference of two logarithms ... the logarithm of the numerator minus the logarithm of the denominator. So your problem is equivalent to: . . You can now use a scientific calculator to find that and that . Substituting these two values into the problem makes it become: . . Performing the subtraction in the numerator results in the problem becoming: . . and, finally, doing the division results in an answer of: . . And since we used a scientific calculator to find ln(12) and ln(25) we could have done the whole thing on a scientific calculator from the very start. Basically, it could have been done on a typical calculator as follows: . Enter 12000 Press the divide key Enter 25000 Press the "=" key At this point you have found 12000 divided by 25000 Press the natural logarithm "ln" key The above step gives you the natural logarithm of 12000 divided by 25000 Press the divide key Enter 0.075 Press the "=" key . You should have the answer of which agrees with what we got by going through a few more steps. But I suppose it was OK to do the extra steps just for practice. . Hope this helps you to understand logarithms in general a little better, and how to work with natural logarithms in particular. . If I mis-interpreted what you meant your original problem to be, please repost the entire problem.