Question

solve for x
log[3](x+3)-log[3](x-13)=2

Answer 1

first write as
\[\log_3(\frac{(x+3)}{(x-13)})=2\]

Answer 2

then switch to exponential from via
\[\frac{x+3}{x-13}=3^2=9\]

Answer 3

so you get
\[x+3=9(x-13)\] and you can take it from there

Answer 4

x=15?

Answer 5

yes 15 is it!