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Homework Statement
If you have, for example, 2 + 4 - 1, you can get the answer (5), by doing both:
= 2 + (4 - 1)
and,
= (2 + 4) - 1
But the same logic does not work with logs: to get the right answer (4/3) here you must do:
=(ln(9/4) + ln (16/9)) - ln (3/1)
and NOT:
ln(9/4) + (ln (16/9) - ln (3/1))
Why exactly is this so?
Homework Equations
ln (9/4) + ln (16/9) - ln (3/1)
2. Attempt at a solution
(ln (9/4) + ln (16/9)) - ln (3/1)
= (ln (4) - ln (3))
= ln (4/3) = correct
(ln (9/4) + (ln (16/9)) - ln (3/1))
= ln (9/4) + ln (16/27)
= ln (144/108) = wrong
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