Which of the following statements is TRUE? x log x A log-D y log y B log- y log x c log log D log (x+y)-log x+log y

Q: evaluate the Following 'F log p = X and log q=y, x and y. In terms

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Q: a 0 =c, the z is equal to log c- log a log b 0 log c log b log a log c + log a log b log c log a +…

A: Topic:- algebra

Q: 6. Which of the following is equivalent to 12* =c-4? A. log 12 =c-4 B. log-4) 12 =x C. log,(c-4) x…

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Q: The domain of definition of Rx) = /log (log x)- log (4- log x)- log 3 is %3D (b) [10°, 10*] (d)…

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Q: If loga = logx – 2(logy + logz), then a is equal to O Ax-y²z? В. Х v²z? O C.x-2y+2z OD. X 2y +2z

A: given,

Q: 17) Which of the following is true?              A) log(x+y)=log(x)+log(y) B)…

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Q: One of the following is True: Log() = Log(z1) – Log(z2). %3D Z2 eLogz = z if z + 0.

A: In this question, there are two options which are true.And we will be using product rule of…

Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

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Q: Which of the following statements is TRUE? A log log x y log y B log ylog x y c log =lo =-log x D…

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Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

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Q: Use the Laws of Logarithms to expand the expression. (a) log() 25 log (x) + log (y4) – log (z³) ×…

A: logmn=log(m)-log(n)log(mn)=log(m)+log(n)log ab= b log a

Q: Which of the following are equivalent to log 4+-log x-5 log y? Select all that apply. 3 1 log 4+ log…

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Q: If Y = Ab" , then log Y = n log(Ab). %3D

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Q: Solve the equation without using a calculator.

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: Suppose log. (x) 2 and log, (y) = 5. Find the following: %3| a) log. (r?y) b) log. (y³) c) loga

A: *concept:- use "log" properties.

Q: if log x^13 y^10/z^13 =A log(x)+B log(y)+C log(z) then A= B= C=

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Q: Determine if the following statement is true or false. – log (:) log y log x - True False

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Q: 8. Express as a single logarithm and simplify if possible: log x + 4 log y – 2 log z A. log 3(술x +…

A: Our Objective is to simplify.

Q: Which of the following logarithms is CORRECT? i. log10(1) = 0 ii. log3(3) = 0 i. log2((8)(16)) =7…

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Q: b log (x) – d log(v) + log (z)

A: Given,           b logcx - d logcy + logcz

Q: 29. Assume that log y = 2 and log w = 3. Evaluate log (y/w²). A) log 2 – log 9 B) - 4 C) - 0.49 2 D)…

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Q: Given that x > 0, the value of x for which log, x + log,(6x + 10) = 1 is %3D

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Q: If f(x) = log x, then f' (x) = 1/xln10

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Q: Express log b in terms of logarithms of x, y, and z. y'z Choose the correct expression below. А. log…

A: We have to express in terms of logarithms

Q: The inverse, f(x), of f (x) = 3“ is represented by which of the following? O A f1 () = 1 O B. f1 (x)…

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Q: Find the domain and range of the functions f(x) = log x2 and g(x) = 3 log x

A: Given: fx=log x2 and gx=3log x   To find: Domain and Range

Q: A linear relationship between the logarithms of the variable x and y which are connected by the…

A: We Know that Logarithmic Rule, log(ab) =log(a) +log(b) log(an) =nlog(a) By using above rule we find…

Q: Condense to one logarithm: 7 log4 x – 6 log4 Y + 5 log4 z Which answer is correct? (A log (7x + 6y +…

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Q: Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x…

A: GivenAlog10 10 = 1B.log (2 + 3) = log (2 x 3)C.log10 1 = 0D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Q: At which of the following values of is Log(-1+2) differentiable. Check all the points that apply. z…

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Q: Given that log x = 8 and log y = 3, then log(x²y) %3D %3D is 11 19 22 33 O 5

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Q: Which of the following is correct? A. O log n EO(Vn) B. O vn EO(log n) C. O log n €O(Vn) D. O log n…

A: We know the expansion of log (1+n)  We replace the n in the expansion by (n-1). And we get the…

Q: 3. If r= , then logr can be represented by AB 1) log A+ log B- log C 2) 3(logA? + log B - log C) 3)…

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Q: If T = 1o, then log T is equivalent to: 5 A (1 +2 log x) – log y B log(1 +2x) – log y (1- 2 log x) +…

A: We can find the log as below

Q: log is equal to log a + log y + log z. True O False

A: Given expression is: logxyz On simplifying further we get: logxyz=log(xy)-logz…

Q: Given that log a 2, logy 3 and log z = 4 find log () %3D %3D O 13 8. 7 O11

A: given: we have to find the value of .

Q: One of the following is True: Log(z1z2) = Log(Z1) + Log(z2). %3D O None of them Log() = Log(z1) –…

A: Find the one which is true.

Q: *If log(67) + log(y) = log(z), then 67 + y = z. a) True  b)False*If ln(67x) = ln (y), then 67x = y.…

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Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

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Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

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Q: log is equal to log r + log y+ log z. O True O False

A: Explanation: Given that: Concept used:

Q: Determine if the following statement is true or false. (log æ)(log y) = log (x + y) True O False

A: Using the properties of logarithmic functions, it can be written that log(A·B)=logA+logB .

Q: If x= log a and y=logb then log Vab’ is equivalent to: (1) Vx+y' () (3) Зу) (2) Jäy (4)

A: We are asked to find the equivalent expression.

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

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Q: What is the Domain of the following logarithmic functions? 1) f(x) = log(3x - 21) 2) f(x) = log(2x +…

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Q: simplify.  log(x)−2[log(y)+3log(z)] log((x^33y^20)/z^36)

A: simplify.  log(x)−2[log(y)+3log(z)] log((x^33y^20)/z^36)

Q: Use the Laws of Logarithms to expand the expression. xy (а) log x + 2 (c) log V + 4) (b) In

A: We know that, the property of logarithm is given as logmn=nlogm                 ⋯⋯1logmn=logm+logn…

Q: If Y = Ab" , then log Y = n log(Ab).

A: The logarithm of a number can be written in the form . Here, e is the base of the logarithm. The…

Q: Which of the following is correct? A. O log n EO(Vn) B. O vn EO(log n) C. O log n EO(Vn) D. O log n…

A: We first expand log n to see the behavior.

Q: Rewrite the expression as the logarithm of a single quantity. 18) 6 log, t- log b S 18) 19) 3 log x…

A: As per our guidelines we are supposed to answer only first question Kindly repost other as the next…