All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Empower With X and 0.4 (Posted on 2008-03-10)
Determine all possible positive real numbers X that satisfy this equation:

X0.4X = 0.4X0.4

Note: For the purposes of the problem, abc is equal to a^(b^c)

 See The Solution Submitted by K Sengupta Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer exploration (spoiler) | Comment 2 of 7 |
(In reply to computer exploration (spoiler) by Charlie)

DEFDBL A-Z
df = .04
FOR x = df TO 1 STEP df
a = x ^ (.4 ^ x): b = .4 ^ (x ^ .4)
PRINT USING "##.#######"; x; a; b
NEXT
DO: LOOP UNTIL INKEY\$ > ""
df = 3 / 45
FOR x = df TO 4 STEP df
a = x ^ (.4 ^ x): b = .4 ^ (x ^ .4)
PRINT USING "##.#######"; x; a; b
NEXT
DO: LOOP UNTIL INKEY\$ > ""
df = 1
FOR x = df TO 40 STEP df
a = x ^ (.4 ^ x): b = .4 ^ (x ^ .4)
PRINT USING "##.#######"; x; a; b
NEXT
 Posted by Charlie on 2008-03-10 16:21:10

 Search: Search body:
Forums (0)