Question 441111
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi
*[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_x(25/4) \ = \ 2 \ \ \Rightarrow\ \ x^2 = 25/4]
                     x^2 = 25/4
                       x =  5/2  (negative solution being extraneous)