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

Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

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Q: ) = log (2t + 1)

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Q: If log 3 = 1.35 and log 2 = 0.85, find the value of log V54 . log V54 Enter your next step here

A: Given : loga3 = 1.35                        loga2 = 0.85 Find out : loga54 Solution : loga54  =…

Q: g (x+7) – log (3) = log (7x +1)

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Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

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Q: The logarithmic form of: V2x = 4 is %3D اختراحد الخيارات A log2x .B = log2x 4 %3D .C log4 = 2x .D =…

A: We have to convert it into logarithmic form

Q: Find the domain of f(x) = log4(x - 5).

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Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

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Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

A: We differentiate the given function using quotient rule of Differentiation i . e .  If   y ( x  ) =…

Q: Find a so that the graph of f(x) = loga x contains the point (2, 2).

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

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Q: If log 2 = 0.3010 and log 3 = 0.4771, find the value of log5 512

A: To determine the value of the log5(512)

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: The given logarithmic equation is:  log z5xy3

Q: f(x)=log3(x+6)+log31 and g(x)=2log3(x). For what x-value will both functions have the same value ?…

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Q: 9⋅7x=3.5e^(2x) Find x using natural log

A: Given exponential equation is:Solve for x using natural log.

Q: Find the domain of f(x) = log4(x + 3).

A: We have to find the domain of logarithmic function: fx=log4x+3 We know that for any logarithmic…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Find the domain of f(x) = log(x^2-3)

A: Solve by using properties of logarithmic function

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: Here we use some properties of logs to expand the given function.

Q: The domain of the logarithmic functionf(x)=logax is _______.

A: We have to find the domain of the logarithmic function: fx=logax

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

Q: Simplify the expression log(2x – 2) – log(x² – 1). State the restrictions on x. - -

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Q: Given that y = log, 11 and 64 %3D x = log 2, what is logp expressed in terms of x and y? a. 2х-бу b.…

A: We are given that y=logb11 and x=logb2. We need to find what is logb64121 in terms of x and y. Now,…

Q: The domain of log, (x) is

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Q: 5x log V7- 5x

A: LetL=ln5y5x-237-5x7Apply log rule:  logcab=logca-logcbln5y5x-237-5x7=ln5y5x-23-ln7-5x7Apply log…

Q: Find the domain of the function. g(x) = log3(x2 - 1)

A: Given function - g(x) = log3x2-1For a logarithmic function to be defined, the input to logarithm…

Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: Find the domain of the function g(x) = log3 x + 6.

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: logan=nloga   logab=loga-logb

Q: 3. 9. a) Solve for x: log4 xX = b Write as a single log: 2log, 3x + 3log5y – 4log5z

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Q: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: log 3)

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Q: Find the domain of f(x) = log 5 (16 – 6x – x²) algebraically.

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Q: a) 4 – 113x-2 = -23 %3D b) log, x + log6(x + 1) = 1

A: Please refer the attached image for complete solution.

Q: given log 2=0.3010 and log 3=0.4771, evalute log 6

A: It is given that,

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log a,…

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

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Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

Q: Find x,where l

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: Expand the logarithm fully using the property of logs. Express the final answer in terms of log x.…

Q: Solve for X, Show all work A. log(x)+log(x+3)=1 B. 2log(x)+log(2)=log(5x+3)

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Q: Find the domain of y = log(6 +5x). The domain is:

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Q: Given that log9 b-2 = log3 a, express b in terms of a

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Q: Solve for x in terms of k. log4x−log4(x+6)=log4k A) x= B)Find x if k=1/8

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Find constant A such that log3 x = A log5x , for all x > 0.

A: To find the constant A such that the below equation is true for all x>0.