Question 436311
  <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_4(x^2-3x) \ = \ 1 \ \ \Rightarrow\ \ 4^1 = x^2-3x]
  x^2-3x = 4
  x^2 - 3x-4 = 0
factoring
 (x+1)(x-4) = 0
  (x+1)= 0    x = -1     |Checking this solution: log4 4 = 1
Or (x-4) = 0   x = 4     |Checking this solution: log4 4 = 1