Question 537093
Simplify:
{{{(Log(25)-Log(125)+(1/2)Log(625))/Log(9)}}} Apply the "quotient rule".
{{{(Log(25/125)+(1/2)Log(625))/Log(9)}}} Now apply the "power rule".
{{{(Log(1/5)+Log(625)^(1/2))/Log(9)}}} Substitute {{{(625)^(1/2) = 25}}}
{{{(Log(1/5)+Log(25))/Log(9)}}} Now apply the "product rule".
{{{(Log((1/5)*(25)))/Log(9)}}} Evaluate the argument in the numerator.
{{{highlight(Log(5)/Log(9))}}} This is it! If you need to evaluate, then:
{{{Log(5)/Log(9) = 0.69897/0.95424}}}={{{0.7325}}}Approx.