allowed to use only integer exponents. Use sqrt(...) to deal with fractional exponents.  final answer is written as a single logarithm   9log(x)+7log(z)−1/2log(y)=

Q: 1. Write the following as the sum or difference of logarithms. Simplify as much as possible. Assume…

A: Logarithmic functions and exponential functions are considered to be the inverses of each other as…

Q: If a, b > 0, find the number a that satisfies (ax)loga = (br)logb, where log is the logarithm of any…

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Q: Please

A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of…

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: In x Use the change of base formula loga x = to show that In a log, x = dx x In a d d loga x = dx dx…

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Q: Sdlue for x: a) 3¥ = 815 c) lag (2x-3) tleg(x-2)= lag(2x-1) d) 2-*= 2*"+2 Do not use log fer a) and…

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Q: 3. Write the expression as a sum and/or difference of logarithms. Express powers as factors. Log().…

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Q: D. Logarithmic on both sides. In(3x+8) = In(2x + 2) + In(x – 2) %3D 7.

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Q: Using complex logarithms, we have 3 3/3 km). In 2. In a + i + ckT where k is any integer, and a, b…

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Q: 9. Solve for x. You do not have to evaluate- leave in log form. a) 3x+4 = 63x-1

A: To find the value of a variable from a equation which present in the exponent of a number then we…

Q: Find the domain of y = log(3 – 1æ). The domain is: Ox > A O x > A Oa < A Ox < A where A = Check…

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Q: (a) Solve the given function and show that x can be describe in terms of natural logarithm 10sinh 2x…

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Q: logarithms. :): /hich is equivalent to In x²+1 ? 2y³x4

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Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

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Q: The domain of the logarithmic function f(x) = loga xis_________

A: to find the domain of the logarithmic function

Q: In the exponential form f(x) = a. bx, the base b can be equal to 1. (A) True (B) False

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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Q: The restrictions on the variable in the expression log x-9)-log(x² + 6x + 9 ) ; is а. х> 3 b. x<3…

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Q: The least value of the expression 2log10x – log(0.01), for x > 1, is- (A) 10 (В) 2 (С) -0.01 (D)…

A: This is very complicated and lengthy problem,so I can do it in Advanced Mathematics.

Q: The temperature dependence of the vapor pressúre is given by the equation: AHvap Inp = In A – RT…

A: Given that ln p=ln A-dHRTWe know that if we move ln to the other side we can write it as exponent

Q: What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical

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Q: Find the largest value of z that satisfies: loga (z) – log,(z + 3) = 8 %3D

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Q: For these false statements, make the necessary changes to one side of the statement to make the…

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Q: radicals as factors. √xy³ 3 a) log 22

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: S(z) = log (3r - 27) %3D

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Q: Find the domain, range, x- and y-intercept of  f(x)=log3(x+3)-2 f(x)=ln(2x+2)-1

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Q: The expression log2(4 – x) is undefined for all values of x such that OA54 B. x 2 4 OCx4

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Q: Show that loga(M/N) = loga M - loga N, where a, M, and N are positive real numbers and a ≠ 1.

A: Here given equation loga(M/N) = loga M - loga N

Q: A student was asked to determine the y-intercept for the logarithmic function f(x) = log₂(x + 3) +…

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Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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Q: Find ∫(x sec^2 x dx). Be sure to include the argument of the logarithm in parentheses and absolute…

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Q: The function f(x) = log16(x) is the logarithm function with base So f(16) = | , (1) = f(256) =| ,…

A: Given,

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

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Q: r(x) = 5 log4 (3x + 10)

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

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Q: 2. log(3+j7)[ln(7+j3)]

A: Given - log3 + j7ln7 + j3 To find - Evaluate the given expression and write in rectangular form.

Q: 22. Another way of expressing Inx is log x.

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Q: log2(3x-1)=2 (answer should be in a fraction)

A: The given value is log2(3x-1)=2

Q: f(x)=log2x and g(x)=√? − 4 (square root over the whole x-4)  what is the domain of f(g(x)) and…

A: Given that  f(x)=log2x and g(x)=√(x− 4) To find the domain of f(g(x)) and g(f(x))

Q: The domain of the logarithmic function y = log4 (x + 3) is Ox>0, XER Ox-3, x=R Oxz-3,TER OX>0, XER

A: Let's find domain of given logarithmic function.

Q: Given that log x=​2, log y=​3, log 2≈​0.3, and log 3≈​0.48, evaluate the following expression…

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Q: Find ∫ xe-2x dx. Be sure to include the argument of the logarithm in parentheses. Hint: Use u=x and…

A: Obtain the indefinite integral of  by integration by parts.

Q: Find the value of b so that c(x) logbx passes through the point (27,3) A. 3 B. 9 C. Square root…

A: Solve it.

Q: Simplify sinnh(loge(4)). Express ecos(3+iloge(4)  in the Cartesian form.

A: The given problem is to evaluate and simplify the given complex expressions and express in the…

Q: 6. Find the domain of f(x) = log, [log, [log3(18r – x² – 77)]]

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Q: Find the domain of y = log(7 + 3x). The domain is: Ox A Ox Α where A =

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Q: Find the functions, f ∘ g and g ∘ f and their domains. f(x) = log2 x,    g(x) = x - 2

A: f o g is f(g(x)) g o f is g(f(x)) Domain of the function is set of all values of x for which…

Q: What is the value of x in log. 3 =- ? А. 1 В. 3 С. 9 D. 27

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Q: f(x)=log9(x^2+7x−8) The domain of the function is

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Q: 5. Assume x, y, z, and b are positive and b is greater than 1, write the expression with logarithms…

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