Exact solution of log equation

Question

Find the exact solution of the equation and show work.

 

log₄8 = log₄(x²+2x)

 

 

 

Please help!

Answer 1

log₄8=log₄(x²+2x)

8=x²+2x

x²+2x-8=0

(x-2)(x+4)=0

x-2=0

x=2

x+4=0

x=-4