A) fex) = (x + log (log (3²+x²)) ; f(x)= O(³√x) B) f(x)= lg (2²-x²); f(x) € (x) A. Only A is TRUE B. Only B is TRUE C. D. Both A and B are TRUE Both A and B are FALSE

Q: Which of the following is an equivalent fact to the equation log2 (x) = 4? a) /2* -4 = X O b) x4 =…

A: Given, log2x = 4 We have to find the equivalent expression of log2x = 4.

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

Q: Sdlue for x: a) 3¥ = 815 c) lag (2x-3) tleg(x-2)= lag(2x-1) d) 2-*= 2*"+2 Do not use log fer a) and…

A:

Q: a) x1+2log x = 100.x log x

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A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

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Q: a+b If 6)** 16 = 16 and log (a-b) 8 = -3 log(a-b) 8 = -3 find the values of a and b

A:

Q: Evaluate by Residue Theorem fºº dx 1+x3/2

A:

Q: The logarithmic expression logarithm; -log5(4x²) – 2log,(x+ 1) + log,(x²– 1) can be simplify as…

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Q: Find the exponential function of the form fx) =ab* for which -3) = 7and f(O) =2.

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Q: 1s Rewrite the nale as a (x)

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Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: 22. Find expressions for f(g(x)) and g(f(x)), and state their domains a) f(x)=√√√x;g(x)=x²-4 f(g(x))…

A: Solution :- The domain of a function is the set of input or argument values for which the function…

Q: If log b a = x and log √a b = 2 3x, show that x =

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Q: . log, (x² – 6x) = log, (-8)

A:

Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

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Q: 0007 (d) 5 X = (e) 5 X 36 nlox 6 X = (f) 5 12 || X 24 = X 48

A:

Q: Solve. a) ln(x+1) + ln(x-1) = 0 b) e8-5x = 16 c) ln(2x) - ln4 = 3 d) 2ln(x+3) = ln(12x)

A: a) use logarithmic identities to solve the given equation as.

Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: Determine the domain and range f (x) = log(a + 5) - 3 %3D

A: The given function is: f(x)=log(x+5)-3

Q: If log, (x +x) – log, (x + 1) = 2, then the value of x is

A: Use the properties of lograthim.

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: √(x³ + 2x² + x -5) e 2X dx

A: