use the following function to answer the following: y=log(−x−3)−2 1. if x = -13 then y = ? 2. as x → -∞ 3. as x → +∞ 4. what is the increase/decrease?

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

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Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

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Q: Find f'(x) if f(x)=   and then simplify

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Q: use logarithmic difterient iation to Aind r V3x-1

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Q: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: use the following function to answer the following: y = -log(x + 2)-3 what is the range? when x…

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Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: Which of the following is an equivalent equation to 10* = 430? %3D A) log 430 = x C) log, 10 = 430…

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

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

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Q: For the following equation, find x. 1 log x- log, 27+ log 4 - log 6 wwww 3. 2

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Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

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Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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Q: Graph y = loga 2 as a function of a over the interval 0 < a≤ 4.

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Q: Suppose that the sound at a rock concert measures 124 dB (decibels). a. Use the formula L = 10 log…

A: Part (a) - Loudness of sound = L = 124 dBInitial intensity of sound = I0 = 10-12 W/m2Final intensity…

Q: Find x in the following equation. log x + log(x-2) = log15 X=

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Q: The following functions represents the adult height percentage attained by a boy or girl through the…

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Q: Find the function of the form y = loga(x) whose graph is given. У 3 4 -1(1/6, –1) 2.

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: Which of the following functions grow faster than e" as x00? Which grow at the same rate as e"?…

A: We have to calculate which function grows faster than ex The function given to us is 10x4+30x+1…

Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

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Q: In the function y = log, (x +3), what is z in terms of y? O = 2 -3 O = 2 +3 O =3-2 O = 2y+3

A: Explanation of the answer is as follows

Q: Given the following equations, find x log(x – 3) = 3 b. In(x - 2) = 5 – In(2x + 1) c. log2 ) = 3 +…

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Q: y = x² log2( 4*)

A: given function :

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

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Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: If log „x= 0.32 and log „z = 0.83, evaluate the following expression. log b 3z

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Q: Find the domain of the function. H(x) = log5 x3

A: The given function is H(x) = log5 x3

Q: Which of the following graphs represents the function below? (log (x + 3), x4

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Q: Write the following expression as a logarithm of a single quantity. 6lnx – 10ln(x² +3) a. In(6x –…

A: Use log property

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given that the percentage of adult height attained by a girl who is x years old can be modeled by…

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4 3. 0.6 + j0.8

A: To find the natural logarithm when z equals 1) -10 2) -3 - j4 3) 0.6 + j0.8

Q: use the following function to answer the following: y=log(−x−3)−2 if x = -13 then y =?

A: Given,          y = log(- x - 3) - 2

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

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: use the following function to answer the statements below: y=log(−x−3)−2 1. as x → -∞ 2. as x → -3

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Q: For f(z) = 3e6'the value of log(f(z)) is

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Q: What is the x-intercept of the graph of y = log, (x +5)? O (1,0) O (-5,0) O (-4,0) O (4,0)

A: The given problem is to find the x intercept of the given graph function Given function y= log3(x+5)

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Q1 Given that f, g and h are functions of the variable x, differentiate (c) x+ logfog h

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Q: 7 log, (u5)

A: We need to evaluate the value of the following expression log557

Q: Find the graph of the function f(x) = log, (r+ 1) +2

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Q: 12. Determine the y-intercept of the function y=log, (x+81).

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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: Which of the following is the inverse of the function, y= log2(x) +2?

A: y = log2x + 2 So, log2x = y - 2 x = 2(y-2)

Q: Which of the following exponential functions grows at the slowest rate ? Select one: O a. y = 4x² O…

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

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