True or false: For any real number b > 1, and any real numbers > 0 and y > 0, it must be true that: log, (y) = log, (a)+logs (y) O False O True

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

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Q: For all values of x > 4, log (x + 4) + log (æ – 4) = log (2x) True False

A: logx+4+logx-4=log2x

Q: )What is x,y, aud z? 1. 3 -3 3. 01 3-3

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Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: What must logb 1 be equal to?

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Q: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

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Q: a If A the matrix A is invertible if and only %3D lc d]° if

A: Find the determinant of the matrix A. A=abcdA=a×d−b×c=ad-bc

Q: The union of left ray topo log y and right ray top log y on real numbers is usual topo log y True…

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Q: Let T be the number of years since 1988. What does t = 12 mean in this situation?

A: It is given that T is the number of years since 1988.

Q: m(x)=log,(x+2) - 5 after it has been horizontally shifted right 7 units and vertically down 1 unit?…

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Q: (8 x V5 Write log in terms of 81 log 2, log 3 and log 5 to any base.

A: Given, log (8*51/4/81)

Q: 2. Use the product property of logarithms to write as the sum of logarithms. Simplify where…

A: Given,  a  log464xy  b log100z clog22m.4n  We have to write the logarithms as sum of  logarithms.

Q: Assume that u > 0 and v > 0. Express log,(u“ v°) as a sum of multiples of log(u) and loga(v). Write…

A: We have to find

Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: Solve for x in each of the following. Make sure to check for extraneous solutions! a) log,(x - 4) =…

A: Given a log4x-4= log43x-1b log32+ log3x-5=4c log6x2-6= log6x

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

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