Look at the effects of different bases on f(x) = log(x): -5 140 x

Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

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Q: Consider the function f (x) = log10 x.   When f (x) is increased by one unit, x must have been…

A: For the function f (x) = log10 x..............................................(1)   When f (x) is…

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: Determine the nature of the following function for even and odd

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Q: What does the multiplicative property of logs say that logb(m⋅n) is equal to?

A: Log of multiplication of two numbers is sum of log function

Q: What is the zero o of the funcHon Y= loge (x+G)-I?

A: Given: The function, y=logxx+6-1.

Q: Use the table below to find f(x)f(x). Assume that f(x)f(x) is an exponential function.       A)…

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Q: e properties of logaritl In (*)? (x+1)5 (x-4).

A: Solution -  Given function -  y=lnx+15x-42Using a logarithmic property - ln(a)b = bln(a)Implementing…

Q: 2. 4xx X (2-x4)6

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Q: 7. Find the inverse function for each of the following: (a) y= log, (x+8)-2

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Q: Condense the following logarithms using the properties. 10) log(x)+log(y)-2 log(y) 11) 2 log(2)

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Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: A function defined by y = ab can be written in terms of an exponential function base e as

A: The function is y=abx

Q: 11) 2 log(2)-4log(b)

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Q: Suppose the functions f, g, h, r and I are defined as follows: f (x) = log+log x 3 g(x) √(x+3)² h(x)…

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Q: If fx) = r t 1 and g(x) = 8+x logx 1 what is the domain of (fx g)(x)?

A: To find  The domain of (f*g) (x)

Q: What is the domain for the exponential function f(x) = -5log(x-2)? OD: (xe R) OD: (xe R|x>-2) OD:…

A: Here we have to find the domain of the given function.

Q: Cannot solve

A: If r= (x,y) Here , x= -8 , y=9

Q: Determine the nature of the following function for even and odd f(x)=log(x+vx°

A: if f(-x) = f(x) then f is even  if f(-x) = -f(x) then f is odd if if f(-x) is not equal to f(x) and…

Q: log(-x + V 2 log -x + x² + 1}• log{x + Vxn ,2 + V x +1

A: use property of logarithm.

Q: Differentiate with respect to the independent variable: f(x)= log base 20 square root x

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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: dx 1+ax log 1-ax Evaluate x1-x

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Q: An exponential function t(x) = v(a“-²) where v is a nonzero integer and a is an integer greater than…

A: Given: The exponential function is, t(x)=v(ax-2). v is a nonzero integer. a is an integer greater…

Q: 2. a) Determine (f= g)(x) in simplified form and state its domain, given f(x) = and g(x) = logx – 2.…

A: Given : (a) f(x) = x/5x+4      , g(x) = log(x) -2 (b) f(x) = 2√(x+9)     , g(x) = (x+2)/(3x+6)