Back to school (Southland) Mystery Cache
It's TURNER Time!: We visited the cache site about a month ago and discovered extensive earth moving / landscaping underway, and close to cache location so intended to archive it.. And forgot. Archiving now :)
Back to school (Southland)
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Difficulty:
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Terrain:
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Size: 
(small)
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in our disclaimer.
A love of mathematics is required to solve the equations for this cache! Placed on a break from studying over the summer holidays to get up to speed before uni starts =)
The following equations will help you to find the cache! All equations are at 7th form achievement level. (please excuse the characters that haven't come through properly!)
x² - 7x = -12
x (sin30°) = 3
18x – 24x² = 0
(x + 4) (x - 9) = 0
4x³ - 8 x² - 11x + 15 = 0
(x – 3)² - 16 = 0
(2x + 9) / (x – 3) = (x + 1)
2 x² - x = 1
log(x + 2) + log(x – 5) = log 8
log(base)2 256 = x
lim as x approaches 0 for x / (x² + x)
x - 2vx = 3 (v = square root)
2cos (x + (p/4)) cos (x - (p/4)) = 1 (p = pi)
log(base)x 4096 = 6
log(x + 7) – log(x – 2) = log 4
(some equations will have up to 3 possible solutions)
The cache is easy to find once you have worked out the co-ordinates!
The cache is a 400ml container that contains a logbook but no pencil. Accuracy ±12m. There is room for small swaps. Please replace the cache carefully!
The GZ is child friendly, although at certain times during the year there may be an abundance of muggles about!!
If you want to check you have worked out the right co-ordinates, feel free to send me a message.
Happy caching!
6-MARCH-10 - added a hint to make it a little easier at the final location. Happy caching!
Additional Hints
(Decrypt)
fahttyrq nzbatfg gur ebbgf bs n gerr