Question 1206690
<pre>
If:
log₂x + log₄x + log₁₆x = 21/4
find x. 

 {{{matrix(1,3, log(2, (x)) + log(4, (x)) + log(16, (x)), "=", 21/4)}}}
 {{{matrix(1,3, log(2, (x)) + log(2, (x))/log(2, (4)) + log(2, (x))/log(2, (16)), "=", 21/4)}}} ---- Changing {{{matrix(1,6, log(4, (x)), and, log(16, (x)), to, base, 2)}}}
  {{{matrix(1,3, log(2, (x)) + log(2, (x))/2 + log(2, (x))/4, "=", 21/4)}}} 
{{{matrix(1,3, 4log(2, (x)) + 2log(2, (x)) + log(2, (x)), "=", 21)}}} ---- Multiplying by LCD, 4
                  {{{matrix(1,3, 7log(2, (x)), "=", 21)}}} 
                   {{{matrix(1,3, log(2, (x)), "=", 3)}}} ----- Dividing both sides by 7
                       {{{highlight_green(matrix(1,5, highlight(x), "=", 2^3, "=", highlight(8)))}}} ----- Converting to EXPONENTIAL form</pre>