111. Graph Y, = log(x²) and Y, = 2 log(x) using a graphing utility. Are they equivalent? What might account for any differences in the two functions?

Q: Solve for æ: log(x + 2) – log(x + 1) = 1 You may enter the exact value or round to 4 decimal places.

A: here we will solve for x,

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: y:b and y logb x (0< 6<1)

A: Questioin is solved.

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

A:

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: 1. How does the graph of f (x) = log(10000x) compare with the graph of ƒ (x) = log x.

A: Solution

Q: Graph Y1 = log(x2) and Y2 = 2 log(x) using a graphingutility. Are they equivalent? What might…

A: the two function are , y1=log(x2) and y2=2log(x) . the graph of the two function will be as follows

Q: . How is the graph of log x related to the graph of ln x?

A: Here , ln x represents the natural logarithm where its base is e whereas the base of log x is 10 .…

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

A: We have to find resulting function.

Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: . Graph Y1 = log(x2 ) and Y2 = 2 log(x) using a graphing utility. Are they equivalent? What might…

A:

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: What is the solution set for x in the logarithmic equation of log3(x-9) - log3 x=3

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: and y logt x (b>1)

A: The red is y=bx and green is y=logbx b=1.2

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: In(x + 1))

A:

Q: A manufacturing company finds that the number of products they can manufacture, X, is related to the…

A: First, we have to calculate the profit from the profit function P, then we can calculate the profit…

Q: Using properties of logarithms, we can rewrite the equation as In(y) - In(x7 cos(x)), which is…

A: Consider the equation  ln(y)=ln(x7cos(x))

Q: 8. Solve the equation log (3x+1)-log 2 = log11 for the value of x.

A:

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left…

A: Given: The given function is fx=log7x To find: Find the equation after fx is stretched vertically by…

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Consider the logarithmic function that has the equation y = 5log9 (x – 14) +20. 29. The function…

A:

Q: 1 (log, x)' 3x ise b =?

A:

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: Solve for x: log(æ) + log(x+ 1) = 3 x = You may enter the exact value or round to 4 decimal places.

A: use log formula

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: log, (x17 3 ,17

A: Given expression, log3x17 y173

Q: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

A:

Q: How is the logarithmic function (x) = log2(x) related to the exponential function g(x) = 2×? The…

A: Given, fx = log2x gx = 2x

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: Graph the given functions  f(x) =4x    and   g(x) = log4X  on the same graph b)  Explain the…

A: Graph for both functions.

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: Solve for using the definition of logarithm: (logx+29)- 2=0

A:

Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: solve for x  log(x+4) - log(x+1)=1 You may enter the exact value or round to 4 decimal places.

A:

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only…

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by…

Q: Describe how the graph of y = log (10,000x) is related to the graph of y= log x. %3D %3D

A:

Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Solve the logarithmic equation for x. In x = 10

A: The logarithmic equation is given as In x = 10 The objective is to find the value of 'x'.

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…