Question

Anyone good with log properties?
If ln(3x+5) + ln(3x-5) = 6 + ln4
I can use prop 4 to get ln(3x+5)(3x-5)=6+ln4
Does (3x+5)(3x-5)=10?

Answer 1

i would write
\[\ln(3x+5)+\ln(3x-5)-\ln4=6\]

and use properties to write ln(a)+ln(b)-ln(c) as
ln(a*b/c)

Answer 2

and I would write
\[6 \] as \[\ln(e^6)\]

Answer 3

so then you would have
\[\frac{a*b}{c}=e^6\]
see if you can figure it out from here
let me know if you have any questions

Answer 4

I set it up like that, but I still don't understand what happens next.... what do I do with the e?

Answer 5

what do you mean its just a number like 5 or 3.4422 or 2
you want to solve for x

Answer 6

\[\frac{(3x+5)(3x-5)}{4}=e^6\]

Answer 7

\[(3x+5)(3x-5)=4e^6\]
\[(3x+5)(3x-5)=4e^6\]
\[9x^2-25=4e^6\]
\[9x^2=4e^6+25\]
you try the rest