Differentiate.
For y = 
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Solve.Use the approximations ln 4 ? 1.386 and ln 5 ? 1.609 together with the properties of natural logarithms to calculate an approximation to ln 20.
A. 2.230 B. 2.995 C. 2.996 D. 6.930
Translate the following into an equation where x represents the unknown number. Then solve the equation for x.
times a number is 8.
A. 5x = 8, x = 12
B. 5x = 8, x = 
C. 
x = 8, x = 40
D. 
x = 8, x = 1
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log4 23 ? log23 64
A. 64 B. 3 C. 23 D. 4
Provide an appropriate response.The average height of a boy in the United States, from birth through 60 months, can be modeled by 
where y is the average height, in inches, of boys who are x months of age. What would be the expected difference in height between a child 36 months of age and a child 16 months of age?
A. 5.8 in. B. 17.4 in. C. 7.8 in. D. 46 in.