Assume that x is a positive number. Use the properties of logarithms to write the expression 
as the logarithm of one quantity.
a. 
b. 
c. 
d. 
e. 
b.
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Solve.4x + 6(5x - 6) = 9 - (4x + 8)
A. x = 
B. x = - 
C. x = 
D. x = 
Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
A. 0.438 B. 0.487 C. 0.91 D. 0.856
Find all cube roots of the complex number. Leave answers in trigonometric form.4 - 4i
A. 
cis 100°, 
cis 220°, 
cis 340°
B. 
cis 60°, 
cis 180°, 
cis 300°
C. 
cis 80°, 
cis 200°, 
cis 320°
D. 
cis 100°, 
cis 220°, 
cis 340°
Find any modes that exist.$84, $54, $32, $54, $29, $84
A. $54 B. $84 C. $84, $54 D. No mode exists.