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Approximate
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Condense
Using Properties to Solve
Surprise
100
ln24
3.178
100
logxy
logx + logy
100
4log base 6 (x)
log base 6 (x)^4
100
find log base 6 (5/36) - log base 6 (5) = .9
-5.1
100
Log base 2 (78)
6.29
200
log base 2 (13)
3.700
200
log base 3 (xyz)
log base 3 (x) + log base 3 (y) + log base 3 (z)
200
8log2 +4log8
log1048576
200
find log base 9 (81/4) - log base 9 (4) = .63
1.37
200
log base 2 (b/c^3)^4
Log base 2 (b^4) - log base 2 (c^12)
300
log38
1.579 or 1.58
300
log base 2 (4/3)
log base 2 (4) - log base 2 (3)
300
7log base 3 (x)- 3log base 3 (y)
log base 3 (x^7/y^3)
300
rewrite log base 2 (4/19) - log base 2 (19) = A
2-A
300
log base 6 (C) + (log base 6 D / 2) + (log base 6 e /2)
Log base 6 (C square root of DE)
400
log base 8 (4)
.667
400
log of the cubed root of z
(1/3)logz
400
ln2 + ln4 + (ln4/3) + (ln9/3)
ln(8 times the cubed root of 36)
400
log base 6 (36/49) - log base 6 (7) = M
2-M-M
400
Ln7 + ln3 + (ln2/3) + (ln7/3)
Ln (21 cubed root of 14)
500
log base 7 (53)
2.040
500
log base 9 (12)^x
xlog base 9 (12)
500
2log base 4 (z) + 8log base 4 (c)
log base 4 (z^2)(c^8)
500
log base 11 (363) - log base 11 (3) = C
2 + C
500
Log base 3 (20/99) -log base 3 (4)= 1.26 -log base 3 (5) = 1.46 -log base 3 (11) = 2.18
-1.46