5. –/1 points LarATRMRP7 4.3.040. Ask Your Teacher My Notes Use the properties o
ID: 2912438 • Letter: 5
Question
5.–/1 pointsLarATRMRP7 4.3.040.
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My Notes
Use the properties of logarithms to rewrite and simplify the logarithmic expression.log3
92 · 54
6.–/1 pointsLarATRMRP7 4.3.058.
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My Notes
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)log4
xy7z4
7.–/1 pointsLarATRMRP7 4.3.076.
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My Notes
Use the properties of logarithms to condense the expression. (Assume all variables are positive.)
8 ln(x) + ln(x + 1)
8.–/1 pointsLarATRMRP7 4.3.092.
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My Notes
Find the exact value of the logarithm without using a calculator. (If not possible, enter IMPOSSIBLE.)log2
9.–/3 pointsLarATRMRP7 4.4.010.
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My Notes
Determine whether each x-value is a solution of the equation.
6ex ? 3 = 66
(a)
x = 3 + ln(11)
Yes, this is a solution.No, this is not a solution.
(b)
x ? 5.398
Yes, this is a solution.No, this is not a solution.
(c)
x = ln(14)
Yes, this is a solution.No, this is not a solution.
Question Part Points Submissions UsedExplanation / Answer
6) log 4 ( xy^7 z^4 )
expanding the logarithm
log 4 x + 7 log 4 y + 4 log 4 z
7) 8 ln x + ln (x+1)
condensing the logarithm
ln x^8 + ln (x+1)
= ln ( x^8 * (x+1) )
8) log 2 (1/4)
log (1/4 ) / log 2
= log (4^-1 ) / log 2
= - 2 log 2 / log 2
= -2
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