Question 268499: Solve algebraically: ln3+ln(x-6)=ln(x+5)
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Solve algebraically: ln3+ln(x-6)=ln(x+5)
Adding logs means mult so we can write it:
ln(3(x-6)) = ln(x+5)
:
ln(3x - 18) = ln(x + 5)
therefore
3x - 18 = x + 5
:
3x - x = 5 + 18
:
2x = 23
:
x = 11.5
;
:
Check on a calc, the original equation
enter: ln(3) + ln(11.5-6) results: 2.0833
enter: ln(11.5+5) results: 2.0833; equality confirms our solution of x = 11.5
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