Question 1206924
<pre>
Algebraically solve 
log(9x + 4) = 5 + log(2x − 6)
 for x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

{{{matrix(3,3, log ((9x + 4)), "=", 5 + log ((2x - 6)), log ((9x + 4)) - log ((2x - 6)), "=", 5, log(((9x + 4)/(2x - 6))), "=", 5)}}} 
               {{{matrix(2,3, (9x + 4)/(2x - 6), "=", 10^5, (9x + 4)/(2x - 6), "=", "100,000")}}} ----- Converting to EXPONENTIAL form
       100,000(2x - 6) = 9x + 4 ----- Cross-multiplying
    200,000x - 600,000 = 9x + 4
         200,000x - 9x = 4 + 600,000
              199,991x = 600,004
                    {{{highlight_green(matrix(1,7, x, "=", "600,004"/"199,991", "=", 3.00015500698, "=", highlight(matrix(1,2, 3.000155, "(approximately)"))))}}}

As stated by tutor @IKLEYN, 3 is NOT a solution because 3 will result in log (2x - 6) being log (0),
which is UNDEFINED. So, x MUST be > 3, and that's why x is ROUNDED to 6 decimal places, above.

GOT IT?</pre>