Rewrite the logarithm log, 21 in terms of the natural logarithm.
a. 
b. 
c. 1n 3 1n 21
d. 
e. 1n 21
a.
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Find the center of mass of a thin plate of constant density covering the given region.The region in the first and fourth quadrants enclosed by the curves 
and 
and by the lines 
and 
A. 
= 
, 
= 0
B. 
= 
, 
= 0
C. 
= 
, 
= 0
D. 
= 0, 
= 
Solve the problem.If the Jefferson Method is used to apportion 131 legislative seats to six states with the populations given in the table, then a violation of the Quota Rule occurs. 
The apportionment for which state violates the Quota Rule?
A. d B. f C. e D. b
State the domain and range of the function.f(x) = -8e-x + 1
A. Domain = (-?, ?); range = (-?, 1) B. Domain = (-?, ?); range = (-?, ?) C. Domain = (-?, ?) ? (-?, ?); range = (-?, 1) D. Domain = = (-?, ?); range = (-?, 1)
Simplify the expression. If any variables exist, assume that they are positive.
- 
A. -5
B. -10
C. - 10
D. - 