How do you simplify $log _(1/2) (9/4)$ ?

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Answer 1 · 2016-09-25T05:20:33

$-(ln9-ln4)/ln2~=-1.16992$

Remember: $log_a x = log_b x/log_b a$

Let $a=1/2, x=9/4 and b=e$

$:. log_"1/2"(9/4) =ln(9/4)/ln(1/2)$

$= (ln9-ln4)/(ln1-ln2)$

$=(ln9-ln4)/(0-ln2) = - (ln9-ln4)/ln2$

$~= -1.16992$

How do you simplify log _(1/2) (9/4)log _(1/2) (9/4)?