Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.3logz3 + logz2
A. logz18
B. logz54
C. 3logz6
D. logz2
Answer: B
Mathematics
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Find the function with the given derivative whose graph passes through the point P.r'(?) = 4 + sec2 ?, P(?, 0)
A. r(?) = 4? + 
sec3 ?
B. r(?) = 4? + tan ? - 4?
C. r'(?) = 2?2 + tan ? + 4?
D. r(?) = 2?2 + tan ? - 4?
Mathematics
Rewrite as an equivalent logarithmic equation. Do not solve.yz = 3
A. z = log y 3 B. y = log 9 z C. z = log 9 y D. y = log z 3
Mathematics
Perform the indicated operation without the use of a calculator and express each answer in scientific notation.
A. 4 × 10-1 B. 4 × 101 C. 4 × 1015 D. 4 × 10-15
Mathematics
Find the area of the shaded region.
A. 1.69 B. 1.39 C. 1.25 D. 1.50
Mathematics