1. ## Logarithmic Equation

Logarithmic equation, missed lecture this day. I just need to know how you go about solving these problems. Thank you so much!

ln(x+5)+ln(x−5)=0

2. Originally Posted by thebristolsound
Logarithmic equation, missed lecture this day. I just need to know how you go about solving these problems. Thank you so much!

ln(x+5)+ln(x−5)=0
$ln(a)+ln(b) = ln(ab)$

$
ln[(x+5)(x-5)] = 0$

3. so from (x+5)(x-5) would I then make the other side e^0 giving me 1?

Does (x+5)(x-5) become x^2-25?

4. Originally Posted by thebristolsound
so from (x+5)(x-5) would I then make the other side e^0 giving me 1?

Does (x+5)(x-5) become x^2-25?
Yes and Yes (it's the difference of two squares) so you get $x^2-26=0$. As 26 is 2*13 it will no break down to be simpler than $\sqrt{26}$