Question 820406
<pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
log4(x-6)+log4(x-6)=3
{{{log(4, (x-6)(x-6)) = 3}}}
    {{{(x-6)(x-6) = 4^3}}}
    ( x-6)(x-6)= 64
     x^2 - 12x + 36 = 64
     x^2 - 12x - 28 = 0
     (x-14)(x+2) = 0   |(Tossing out x= -2  as (x-6)must be > 0            
          {{{highlight( x = 14)}}}
CHECKING our answer***
{{{log(4, (8)(8)) = 3}}}