Question 603414
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
*[tex \LARGE\ \ log_4(3X+4)^5 = 15]
*[tex \LARGE\ \ 5 log_4(3X+4) = 15]
*[tex \LARGE\ \ log_4(3X+4) = 3]

  {{{4^3 = (3X + 4)}}}
    64 = 3X + 4
     X = 20
Rules governing Logarithms
*[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_b1 = 0]
*[tex \large\ \ log_bb = 1]