Given that log x=2, log ay = 3, and log az = 4, find the following. 4 4-5 /y¹z log log a a 4 2-3 XZ 4.4_5 /y¹z 2-3 xz || (Simplify your answer. Type an integer or a fraction.)

Q: log y11 ( express as a product)

A: Given query is to find the product expression.

Q: Express, in terms of a and b, log, 18 if a = log 3 and b = log 2.

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Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

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Q: Write as the sum and/or difference of logarithms. Express powers as factors. 3 log 13 14 O A. log…

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Q: ewrite as a single log. log,2x+3(loga X- log.y)

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Q: Let A = logm (2) and B logm (5). Expand the logarithm and write as a sum of multiples of A and B.…

A: Given query is to write the expression in terms of A and B.

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: Combine 5log, A+ 2 log,B-3log,C as a single logarithm: (a) log2 ) (b) log; () (c) log, () (d)…

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Q: Signature: Use logarithmic different iation to find for the function 12xe" V3r+2

A: We do logarithmic  differentiation  by taking log on both sides of equation  and then differentiate…

Q: Simplify: log, 16. log, 25. log 5 1 49 -16 -12 8 14 -18

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Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: Find the value of log67 log7 log ,(n+1) logn+16. log 67 log 78· log ,(n+ 1) logn+163D ..

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Q: Express as a product. log z20 log z20 "I

A: we have slove above logthem

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: 2. Write as a single log in simplified form. [3 marks each] log(6x² + 5x − 6) + log(2x − 3) −…

A: log(6x2+5x-6)+log(2x-3)-log(4x2-9)=log(6x2+5x-6)(2x-3)-log(4x2-9)…

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log, (62) + log, (9x") %3D…

A: