2006-09-02 12:07:56 · 5 answers · asked by Olivia 4 in Science & Mathematics ➔ Mathematics
On one hand,
(2 / 3) ln 2
= ln 2^(2 / 3)
= ln ³√4
= approx. ln 1.58740105
= approx. 0.46209812
On the other hand,
(ln 8) / 6
= (ln 2³) / 6
= 3 (ln 2) / 6
= (ln 2) / 2
= approx. 0.69314718 / 2
= approx. 0.34657359
Sorry, not quite the same.
2006-09-02 12:51:07 · answer #1 · answered by Anonymous · 0⤊ 0⤋
No, here's why:
(ln 8) / 6 = ln (2 ^ 3) / 6
Remember the rule that ln (a ^ b) = b ln (a)
= [3 ln (2) ] / 6
= ln (2) / 2
So x = 1/2 * ln (2), which clearly does not equal (2/3) * ln (2)
2006-09-02 19:32:39 · answer #2 · answered by Clueless 4 · 0⤊ 0⤋
x = (ln 8) / 6
= ln (2^3) / 6
=(3) * ln (2) / 6
=(3/6) * ln 2
=(1/2) * ln 2
2006-09-02 20:18:48 · answer #3 · answered by Anonymous · 0⤊ 0⤋
The answer is no. The challenge is why?
2006-09-02 19:13:45 · answer #4 · answered by Anonymous · 0⤊ 0⤋
i don't know. but i wanted points :)
2006-09-02 19:15:01 · answer #5 · answered by cramner25 2 · 0⤊ 1⤋