Question 1089580

Show that logb (a) loga (b) = 1
<pre>PROVE: {{{matrix(1,3, log (b, (a)) * log (a, (b)), "=", 1)}}}
{{{(log ((a))/log ((b))) * (log ((b))/log ((a)))}}} ------- Applying CHANGE of BASE
{{{highlight_green(matrix(1,9, (cross(log ((a)))/cross(log ((b)))) * (cross(log ((b)))/cross(log ((a)))), "=", 1/1, "=", 1, "(SAME", AS, RIGHT, "SIDE)"))}}} 
That's how SIMPLE this is.