IV. odvice veren V. Directions: Use the laws of logarithms to expand the expressions as the sum, difference or multiple of logarithms. 3. log(x(x+2) 2. log, 1. log, (2)(3) . log () 5. log V

Q: The energy E (in joules) radiated as seismic waves from an earthquake of Richter magnitude M is…

A:

Q: Write as a single logarithm:

A: Given:           3logbx−2logb5−13logby

Q: 11. Can the value of log, (-4) be found? What about the value of log, 0? Why or why not? What does…

A: Can the value of log2-4 be found? "No" Because we cannot able to get the value of  2x=-4 for all…

Q: 10. Let log x 4, log y 5, log z 3. Using properties of logarithm, find the value of %3D log Show…

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Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-1, 2/5) and…

A: The solution of given problem is followed by

Q: What is the family of the equation y = log,(x) O quadratic linear O logarithmic Fill in the table of…

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Q: A logarithmic function, h, is plotted on the graph. h(x) 4- 2- -2 2 6 -2- 4- What is the approximate…

A: Approximate rate of change on the interval [-2,2]…

Q: Imagine your utility is given by In(w), where w is the amount of wealth you have and "In" is the…

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Q: 2. The function f(x) = log, x is the logarithm function %3D So f(9) = -- f()- with base %3D f(1) =…

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Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

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Q: Practice 5.9 Question #9

A: Given:

Q: (a) By drawing the graphs of the functions (x) = 1 + In(1 + x) and g(x) = V in a suitable viewing…

A: In the following diagram the logarithmic function starts out higher than the root function as…

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: f(x)=log3(x+6)+log31 and g(x)=2log3(x). For what x-value will both functions have the same value ?…

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Q: How do I write the exponential function in the form f(t) = ab^t passing through points (1/2, 4/3)…

A: Given that: The exponential function f(t)=abt passes through 12, 43 and 3, 1283

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

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Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: True or False If y= logax , then y=ax.

A: The given statement is y=logax , then y=ax.we have to find it is true or false.

Q: 2. Determine if the function is an exponential function. f(z) = 2*

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Q: 2. Solve for x. log,24 – log,2 = logax

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Q: he volume of a cylinder is given by V = πr2h, where r is the radius of the cylinder and h is the…

A: Given: V = πr2h  μr = 1.5  σr2  = 0.04   μh = 1.9  σh2 = 0.05 V is normal distribution so, log…

Q: 1) lag is equal to logizs b)3, c) 3x .d) none of them

A: Solution: log5xlog125x=log5xlog53x we know, logbna=1nlogba hence  log53x=13log5x hence…

Q: Find a formula for the exponential function passing through the points (– 2, 40) and (1, 5) f(z) =

A: Consider the exponential function y=abx. Substitute -2,40  and  1,5 in the above function and obtain…

Q: What is the difference between quadratic and logarithm functions? a. The effect of x on y never…

A: Concept: Polynomial function: A polynomial function with one or more variables, where the largest…

Q: 5. If log, x = 0.3 and loga Y = 1.24, then the value of log, x²y? = %3D

A:

Q: During an epidemic, the number of people who have never had the disease and who are not immune (they…

A: The number of people who have never had disease and who are not susceptible is given by the…

Q: 1 fiel=r(e² + z² + ; 2-en )dz=? (e is the base of natural logarithm).

A: Let given integral is equal to I

Q: 3. If loga logx - 3logy , what is the value of a?

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Q: What type of function is show y 1. 2 8. 3. O Quadratic function O Logarithmic function O Linear…

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Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

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Q: 17. The product rule does apply when multiplying exponential functions with sinusoidal functions.

A: Yes the product rule applies when multiplying exponential functions with sinusoidal functions

Q: |(a) If log; x |(b) If log3 x = 9, th E5 6, th

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

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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: 5 log, (p + 1) +2 = -8

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

A: The given function,   f(x)=logx-4

Q: 1) log,, X If 10 2 what is the value of x? 1-log, 2

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

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Q: 6. List 3 similarities and 3 differences of the two functions below: y=5* and y=log;x

A: Given functions are  y=5x     1y=log5x   2 Similarities between functions (1) and (2):-  i. Two…

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

A: We have to use the laws of logarithms to expand the expressions: a logxy3z2      b lnxy     c…

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

A: Given function - f(x) = ln(x)

Q: Select the correct graph for the given function y = 5+log(x+2) > 10 6 ++ 2 -10 -8 -6 -4 -2, 4 6 8 10…

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Q: (a) By drawing the graphs of the functions f(x) = 1 + In(1 + x) and g(x) = in a suitable viewing…

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Q: 7. logaM^r = __________. 8. If logax= loga6, then x = __________. 9. logaMN= __________. 10. True…

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

A: Graph of f(x):

Q: 2. Find the logarithmic function f(x) = log,(x – h) + k whose graph is given below. Make sure you…

A: Find the logarithmic function f(x)

Q: 31. To create the function y = 5log g (x- 14) +20, the base function y = log9a must be vertically…

A: Let f(x) be a function the parent function.Then a f(x) indicates a vertical stretch by a factor of…

Q: Which statement best describes the effects on the graph of f(x) = logx when f(x) is replaced by -3(x…

A: