Question

how do i solve this

2 ln(x-3)= ln(x+5) + ln4

Answer 1

Use the laws of logarithm:
ln a + ln b = ln ab
2ln a = ln a²

2 ln(x-3)= ln(x+5) + ln4
=>
ln(x-3)² = ln 4(x+5)
Raise to power of e:
(x-3)² = 4(x+5)
Simplify and factor to get:
(x-11)*(x+1)=0
Can you take it from here?

Answer 2

yes thank you much! :)