(Solved):   2. (3 pts each) Solve the following logarithmic equations. Show your work and check for ex ...

 

2. (3 pts each) Solve the following logarithmic equations. Show your work and check for extraneous solutions (don't need to show work for extraneous). a. \( \log _{2}(x+6)=\log _{2}\left(x^{2}\right) \) b. \( 3-\log _{4}(x+5)=1 \) c. \( \log _{5}(x+2)+\log _{5}(x-2)=1 \) d. \( \log _{3}(x+4)-\log _{3}(x)=2 \)