Question 1201530
equation is:
log(a) - 1/2 * log(4a) which is equal to:
log(a) - log((4a)^(1/2)) which is equal to:
log(a) - log(2 * a ^ (1/2)) which is equal to:
log(a / (2 * a ^ (1/2))) which is equal to:
log(1/2 * a / a ^ (1/2)) which is equal to:
log(1/2 * a ^ (1/2))


that, i believe, is as simple as it gets.



to see if this is true, give a randomly selected value and see if the original equation gives the same result at the simplified equation.
i chose a = 90.


original equation gives result of .6760912591
simplified equation gives the same result.
this confirms the simplification is correct.


i saw a mistake that you made in the simplification process.


1/2 * log(4a) is equal to log((4a) ^ (1/2)), not log(4 * a^(1/2)).


oops.
you didn't make a mistake.
i read it wrong.
sorry about that.
everything else i said applies.


let me know if you have any questions.
theo