Student in a learning theory study took an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are given by the ordered pairs (t,s), where t is the time (in months) after the initial exam and s is the average score for the class. Use the given data to find the logarithmic equation that related t and s.  (1, 84.2), (2, 78.4), (3, 72.1), (4, 68.5), (5, 67.1), (6, 65.3)

Q: ,2,3 Expand into several logarithms: x'y In 25

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Write an equation for the transformed logarithm shown below -5 -4 -3 -1 -2- -4 f(z) =

A: We are given a transformed logarithm graph and we have to find function f(x) whose graph is this In…

Q: How predicted values of Y is computed when Y is in logarithms?

A: Consider the case of log-linear regression model where the Y (dependent variable) is in logarithms,…

Q: Find the value of x in the logarithmic equation

A: Given, 1) log24x +log29=log2722) log381=x3)log2(2x+1)<3

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

A:

Q: The formula describes the time, t, in weeks, that it takes to achieve mastery of a portion of a…

A: t=1clnA-lnA-N a). On simplifying the above formula, we get t=1clnAA-N          Because, lnx-lny=lnxy

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

A:

Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: The product property of logarithms states that log,(xy) = numbers b, x, and y, where b 1. for…

A: The product property  of logarithms states that logb(xy) = logbx+logby   for the positive real…

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

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-2,2)

A: Given: The graph passes through the points 1, 0 and -2, 2. Let, y=f(x)=logcax+b     ... (1)

Q: Write log, x + log, y as a single logarithm with coefficient 1.

A:

Q: Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your…

A: Answer:----.               Date:----11/10/2021

Q: Which is a property of the logarithmic function f (x) = log, x ?

A: Given, fx = logbx   We have to identify the correct property of  fx = logbx

Q: Exercise 5. Find for y = In (A). Hint: Use the properties of the logarithm function before…

A: given function is y = lnx-54x3+1according to the property of logarithm,also if y = ln(x) then  ey =…

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

A:

Q: A set of data is shown to have a linear relationship if transformed into the function log(y)=2+5x.…

A: Given problem Given that   A set of data is shown to have a linear relationship if transformed…

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: Write an equation for the transformed logarithm shown below, that passes through (-2,0) and (-1,-2)…

A: Given graph represents the standard function type f(x)=-alog(x+b)

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0)and (-1,2)

A:

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: Use log, 2 0.335, log, 3 0.542, and log, 5 = 0.778 to approximate the value of the given logarithm…

A:

Q: Suppose you're using a scientific calculator (like most phone calculator apps when you hold the…

A: To Determine: calculate log317 Explanation: we know that there are two types of logarithm  common…

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

A: The given expression is log3xzy

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

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

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: Use log, 20.401, log, 30.565, and log, 50.842 to approximate the value of the given logarithm to 3…

A: Given,

Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-2,3)…

A:

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

A:

Q: Find dg Using Logarithmic differentation y =3 2x +1

A:

Q: Use the Laws of Logarithms to expand the expression.

A: logax2yz3

Q: Differentiate the function by using logarithm (1 – 10x) Vr? + 2 ( + 10 10 (1–10z)V²+2 ((1-10.r)…

A:

Q: Use log, 2 0.327, log, 30.542, and log, 5 0.835 to approximate the value of the given logarithm to 3…

A:

Q: Use the properties of logarithms to expand the quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

Q: Which grows faster In(x) or log (x)

A: ln(x) grows faster than log(x) Look for the graph using Desmos graphing calculator.

Q: Convert to a logarithmic equation: z =²

A:

Q: log, y

A:

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

A: Explanation of the answer is as follows

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2)

A:

Q: Assume that the dummy variables Married=1 if married (0 if not married), Sex=1 if male (0 if…

A: Given that, Assume that the dummy variables Married=1 if married (0 if not married), Sex=1 if male…

Q: 2 In x + 3 In y – In z

A:

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

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

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

Q: Condense the logarithmic expressions on the image attached.

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…