\(log_6(x+29)-log_6(x-6)=2\)
\(log_6{6^2}=2\)
\(log_6(x+29)-log_6(x-6)=log_6{6^2}=log_6{36}\)
\(log_6(x+29)-log_6(x-6)=\frac{log_6(x+29)}{log_6(x-6)}=log_6{36}\)
\(\frac{x+29}{x-6}=36\)
\(x+29=36(x-6)\)
\(x+29=36x-216\)
\(35x=245\)
\(x=\frac{245}{35}=7\)
\(log_6{36}-log_6{1}=2\)
