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

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Question 971039: Trying to help my pre-calc student--
Solve:
ln(5-x) + ln(3) = ln(6)
THANKS!

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
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.
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