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

Q: Express log in terms of A, B, C, where log 2 = A. log 3 = B. and log 7 = C. 2A 2B 1 OA+B-1 ОА+2B -1…

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Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

Q: If log,3 =z, then log,81 expressed in terms of æ is

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Q: functions f and g? f(x)=2x

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Q: = If log, (x+ 1) = then x اختواحد الخيارات 20 3 2.

A: Given log9x+1=12 Apply log rules logbx=yThe anti logarithm is calculated by raising the base b to…

Q: 2 Find x so that log10 x = log, 10

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Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

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Q: Condense 4log x -[3x log 2- 4 log(x + 2)] 4.

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Q: State the four algebraic properties of the natural logarithm function.

A: Algebraic properties of a natural logarithmic function - (1) ln1 = 0(2) lnab = lna+lnb

Q: -16 (ii) log,(x– 2)+log,(x) =1 32

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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: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: log2(7x+2)=2, then x=

A: Given:- log2(7x+2)=2,  To find:- Value x

Q: Graph the functions f(x) = log2 x and g(x) = -log2 (x + 1) in a rectangular coordinate system. If…

A: The given functions are,  f(x)=-log2(x) and g(x)=-log2(x+1)

Q: Find the value of x which satsfies the relation  log103+log10(4x+1) = log10(x+1)+1

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Q: If log, (3x + 3) = 3, then x You may enter the exact value or round to 4 decimal places.

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Q: If 3* = 4x-1, then x = %3D 1 2 log, 2 (A) 2 log, 2–1 (B) 2– log, 3 (C) 1- log, 3

A: topic - logarithmic

Q: The domain of the logarithmic function f1x2 = loga xis ________.

A: To find the domain of :f(x)=loga(x) Solution: The logarithmic function is defined as follows:…

Q: Graph the function g (x) =-1+log, (x-3) and give its domain and range using interval notation.

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Q: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

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

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Q: So y = log, x ,x is the inverse of y = 2*. Then plot your new points and sketch the graph. %3D…

A: The given function is y=log2x

Q: f f(x)=(5x)^9x, find f′(2). Enter an exact answer in terms of a natural logarithm.

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Q: log, (x + 2) – log7 x = 2|

A: The given logarithmic equation is: log7(x+2)-log7x=2

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: What are the domain and range of f(x)=log x -5

A: f(x) = log(x - 5)   Note : the domain of log(x) is the set of all positive real numbers. And, the…

Q: Graph equation f(x) = log2 x and g(x) = -log2(x + 1), function, or system in a rectangular…

A: Here given two function as fx=log2xgx=-log2x+1

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

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Q: Find the domain of the logarithmic function : f(x) = ln(x - 7)2

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Suppose loga 15 and log, 5 = 22, find: a) log, 9 b) log, 75 c) log,

A: Given Data: loga3=15loga5=22 (a) loga9 Solve the given logarithmic function.…

Q: = log,25 -x=

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Q: Show that loga (x + √(x2 - 1) + loga (x - √(x2 - 1) = 0.

A: To prove: logax+x2-1+logax-x2-1=0

Q: log,(2x+6)-log4lx-1)=1

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Q: Simplify log, (x+ 4) – log, (a- 5) O log, 9 O log, (2x - 1) z+ 4 log4 I- 5 log, (2-z- 20) 2--20)

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Q: If log, 2 = 0.37 and log, 3 = 0.79 , evaluate log, 8. **If your answer does not come out evenly,…

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Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

Q: differentiate the function f(x)=(x+ log3x)2

A: →Use chain rule of differentiation.→dxndx = n xn-1.→dlogaxdx = 1x logea                        = 1x…

Q: log, x+ 2) <0

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Q: a) 4 – 113x-2 = -23 %3D b) log, x + log6(x + 1) = 1

A: Please refer the attached image for complete solution.

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

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Q: 24. (x-3) > logo4 0.4 log Find domain:

A: Topic: Function The domain is the set of all real numbers except where the function is undefined.

Q: The graph of the function f(x)=8+log2(x) can be obtained from the graph of g(x)=log2x by shifting…

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Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

Q: simplify into a single log: log(x+5) + logx - (2 log y)

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Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Given log3(x2-1)=1+log3(x+3), find log4(x-3). -1 -1/2 1/2 3/2

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Q: Find x when log,x = 1

A: Given : log2x = 1