Correct! ln ba = a ln b

ln ex + ln (x2/y) + ln (y/ex) - ln x

Applying the rules for logarithms: In the first round the first term is of the form ba, and the second and third terms are quotients (a/b).

x ln e + ln x2 - ln y + ln y - ln ex - ln x

Since ln e = 1:

x + ln x2 - ln ex - ln x

Again apply the rules:

x + 2 ln x - x ln e - ln x

x + 2 ln x - x - ln x = ln x

If you still have difficulty with these concepts you sre STRONGLY urged to use the tutorial Logarithms.

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