SOLUTION: Trying to help my pre-calc student-- Solve: ln(5-x) + ln(3) = ln(6) THANKS!

ln (5 - x) + ln 3 = ln 6

ln 3(5 - x) = ln 6 ---- Applying the following: 

3(5 - x) = 6 ---------- Applying the following:  becomes  

15 - 3x = 6

- 3x = 6 - 15

- 3x = - 9

x = , or 

Be reminded that you're not finished yet. The value(s) you get for the variable should make the ORIGINAL equation

TRUE, so 3 should be substituted, for x, in the original equation: ln (5 - x) + ln 3 = ln 6, to determine if the

value for x is correct. This is a MUST since there are times when a value may prove to be an EXTRANEOUS solution. 

I'll leave this up to you.