Evaluate 6log(x+4)=log64

Answer 1

6log(x+4)=log64 , initial condition: x > -4
log ( (x+4)^6 ) = log 64
(x+4)^6 = 64
take 6th root of both sides
x+4 = ± 2

x = -6 or x = -2
but x > -6, so .... x = -2