Question 436307
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi
Familarize Yourself with the Properties:
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ log_b(x) \ = \ y \ \ \Rightarrow\ \ b^y = x]
*[tex \large\ \ nlog_bx = log_b(x^n) ]
*[tex \LARGE\ \ log_bx + log_by = log_b(xy) ]
*[tex \large\ \ log_bx - log_by = log_b(x/y) ]
*[tex \LARGE\ \ log_4x + log_4(x+6) = log_4(x(x+6))= 2 ]
*[tex \LARGE \ \ \ \ \ \ \ \ \ \ log_b(x) \ = \ y \ \ \Rightarrow\ \ b^y = x]
 4^2 = x(x+6)
    x^2 + 6x - 16 = 0
 factoring
  (x+8)(x-2) = 0
  (x+8) = 0  x = -8  |Toss out. Cannot use negative x in log4 x
  (x-2) = 0  x = 2