4. The domain of the logarithmic function f(x) = log, x is

Q: Show that the following functions are harmonic in x and y: log√x² + y²

A: Solution

Q: 5. Find the equation of the line tangent to the graph of y = loge a when a = 36. 6. Show that there…

A:

Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

Q: The logarithmic function f1x2  ln1x  12 has theasymptote x

A: Given f(x)=ln(x-1)

Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

Q: Find derivative for the following exponential function at x = 0 O -5 e O -5/e O 5e O 5/e

A:

Q: Suppose h(x) = log 2-. . What is the correct result of the derivative of h with respect to x? In (5)…

A: Solve for the derivative

Q: The logarithmic parent function y = log (x) has been transformed. What is the equation of the new…

A:

Q: What is the closest value to the instantaneous rate of change of the following function at x 2? f(x)…

A: We have to find closet value to the instantaneousrate of change  at x=2?     fx=3log2x-1+3   So we…

Q: ind the derivative of the given exponential and logarithmic functions. 11. y = e-2x²+1 12. A(x) =…

A:

Q: d Find (3"). Type In(x) for the natural logarithmic dx function.

A: we have to find the derivative of 3x

Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 2. Given that x> 0, the value of x for which log, x + log,(6x + 1'0) = 1 is D

A:

Q: Disprove the statement log(x + y) = log x + log y by, a) Letting y equal a positive constant of your…

A: Given  The statement log(x + y) = log x + log y

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

A:

Q: at any point h (1, 1) is logx – x

A:

Q: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

A:

Q: 17. What type of transformation would occur with the following logarithmic functions? f(x) = log,x…

A: Given that: f(x)=logbx& f(x)=logb(-x)

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: Can you show and explain properteis of the lognormal function: E(e^x) and Var(e^x)

A: Let us say X follow a normal distribution with probability distribution as shown…

Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

A:

Q: 12. f(x) = 3* %3D 15. f(x) = %3D 18. f(x) = log3X

A:

Q: 22. Suppose f(x) = log x + log(x – 3). Find the x-value for which f(x) = 1.

A:

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: Find d/dx(2^x) Type ln(x) for the natural logarithmic function.

A:

Q: 7 log.y- log, w+4log.z 5

A: on applying log algorithm we will get

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

Q: y = log, x %3D 1 1 1 2 4 8. 16 8 4 2 y.

A: given y=log2x complete the table x 116 18 14 12 1 2 4 8 y

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: 26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

A:

Q: Find derivative for the following exponential function at x = 0 e(x²-e5*) O -5 e O -5/e O 5e O 5/e

A: We know ddxef(x) = ef(x)·f'(x)

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

A:

Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: FInd the Domain of these functions. f(x) = log7 (4x + 8) f(x) = ln(4x − 20)

A:

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: 5. The natural logarithmic function f(x) In x has the %3D asymptote x %3D

A: Given function - f(x) = ln(x)

Q: 4. Match the logarithmic function with its graph. (a) f(x) = log2 x (c) f(x) = -log, * (b) f(x) =…

A: f(x)=log2x fx=log2-x fx=-log2x fx=-log2-x

Q: 4. The demand for Good x is Đ(p) = 1000 – p+ logM, where p is the price of Good x and M is the…

A:

Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

Q: 5. Prove if the following function is differentiable y = x loge-*

A: Given that: y=xloge-x

Q: 4. Use logarithmic differentiation to find a formula for f'(x): (x+ 1)3/2(x – 4)5/2 (5x + 3)2/3 |…

A:

Q: d Find (2"). Type In(x) for the natural logartihtm dx function.

A:

Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the…

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the…

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: The natural logarithmic function f1x2  ln x has theasymptote x 

A: Graph of f(x):

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx

Q: Suppose y = m In(x) + b is a logarithmic function that has the points (16.9,1.2) and (55.8,9.8) on…

A: