3 x4 Vx2+1 Differentiate y = (3x+2)5 (Hint: Take the natural log of both sides first)

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

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Q: How do I expand this log expression? xz/5y x times the square root z over 5y

A: We have to expand the log expression:

Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: Q3) A set of data is shown to have a linear relationship if transformed into the function…

A: It is given that. after transforming of data (X and Y), we get a linear relationship between x and y…

Q: Differentiate. a) y=log2(3x) b) f(x)= -7 log(x2) c) g(x)= x6log(-4x) d) h(x)= log8(2x4-3x)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3 1. y = logVV12x %3D

A: 1. Given function is y=log12x3. Solution: We know that, logab=b loga Given function can be…

Q: X-y 19. If log 3 (logx + logy), show that x+y = 11r %3D

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Q: -3 7) log4 x = 2

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Q: y = v4x + 3 log2(x² + 2)

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

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

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Q: 3. Expand the logarithms below: log,(3x'y^y' b. log log (– 2a²b*)* а.

A: Solution:  The objective is to expand the given logarithmic functions

Q: Estimate the error in the value log 2.7 obtained from the following dată.

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Q: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

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Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

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

A: Use property of log

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

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

Q: y = x² log2( 4*)

A: given function :

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: Determine the inverse of the exponential function, y = 2*+3. O y= logs(x)+2 Oy= logx)+5 Oy- logg-5…

A: To find the inverse function, swap x and y and solve the resulting equation for x.

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

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: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: 2 log, (x) = 2

A: The given equation is: 2 log4(x) = 2

Q: 1. What is thex-intercept of the function y= log, (3x+ 4) 2? %3D

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

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

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Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

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Q: Sketch the shifted exponential functions. y=6x -2 and y=6-x -2

A: Sketch the shifted exponential functions of given  1. y=6x -2 2. y=6-x -2

Q: 2 log , x + 12log, y

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Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: Determine whether the equation log4(2x3) = 3 log4(2x) is true or false. Where possible, show work to…

A: Given equation - log42x3 = 3log42xTo identify whether the equation holds true or not, let's solve…

Q: Differentiate f (x) = loge (x26")

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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: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

Q: 9 log, x = 2 4

A:

Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

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: x-y 3 Paragraph If log = (logx+logy), show that x² + y² = 11xy. BIU A/ lılı

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

A: Use property of log

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

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Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: To find approximate what percentage of his adult height has a boy attained at 10.

Q: 3. Write as a single log. log2 (36) + log2(x – 2) – 3 log2 (y +5)

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Q: = Find: logy (yo)-2 %3D اختراحد الخيارات A B 2- .C .D undefined

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

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