Question 1080107
see the following worksheet.


in general:


b*ln(a) is equal to ln(a^b)


d*ln(c) is equal to ln(c^d)


f*ln(e) is equal to ln(e^f)


ln(a^b) + ln(c^d) is equal to ln(a^b * c^d)


ln(a^b * c^d) - ln(e^f) is equal to ln(a^b * c^d / e^f)


that's what's done in the worksheet shown below:


<img src = "http://theo.x10hosting.com/2017/050801.jpg" alt="$$$" </>


you can confirm the solution is correct by choosing any valid value of x and evaluating the original function and the final function.


the answer should be the same.


i did so with x = 12 and got 11.89172945 when evaluating both functions.


consequently i'm reasonably sure the translation from the original function to the final function was successful.