Question 1061991
logarithmic expression for x

log12 x/30=2

Says you can also convert to an exponential equation but isn't required. 

Which way is easier and how would you do both?
<pre>Easier method: 
{{{log (12, (x/30)) = 2}}}
{{{x/30 = 12^2}}} ------- Converting to EXPONENTIAL form
{{{highlight_green(matrix(1,7, x, "=", (12^2) * 30, or, x, "=", "4,320"))}}} ----- Cross-multiplying


LOGARITHMIC method: 
{{{log (12, (x/30)) = 2}}}
{{{(log (x/30))/log (12) = 2}}} ------- Applying change-of-base
{{{log (x/30) = 2log (12)}}} ----- Cross-multiplying
{{{log (x/30) = log (12)^2}}} ----- Applying {{{alog (b) = log (b)^a}}}
{{{x/30 = 12^2}}} ------- If log a = log b, then a  = b
{{{highlight_green(matrix(1,7, x, "=", (12^2) * 30, or, x, "=", "4,320"))}}} ----- Cross-multiplying</pre>