After examining the graphs of several logarithmic functions, you should see that there are restrictions on the input values for logarithmic functions. For what value(s) of x, it is not possible to graph the function f(x) = log(x-1)? Explain your reasoning with the help of a graph.

Q: Notice that the graph of y=log⁡(x−3)−1 has the same shape as the graph of y=log(x), and it has been…

A: Given :- The graph of  y=log(x-3)-1 has the same shape as the graph of y=log(x), and it has been…

Q: Use the graph of logarithmic function f(x) to answer the question. f(x) 4 3 2 1. -4 -3 -2 -1 3 4 -1…

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Q: 7. f(x) = log₁0 (1 + (OSX) 10

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Q: log æ + log (x - 15) = 2

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Q: For which value of x is the equation true? 150 - 5*-3 450 log (5) +3 log(3) log(3) +3 log (5) log(3)…

A: We will use property of logarithm to evaluate this problem.

Q: 8. Write the following logarithm as a sum of logarithms with no products, powers or quotients. (x-4)…

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Q: One of the following is False: Gelect one: O Log(z12) = Log(z1) + Log(z2). %3D Pi dogz = z if z ± 0.…

A: one of the following is false

Q: In the steps below, there is an error. Identify the error and explain how to correct it. log x + log…

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Q: a. f(z) = – log:(z) = - 3 b. f(z) = log3(x) c. f(x) = - log;() d. f(x) = log:() %3D 3

A: Given: a. f(x)=-log13x b. f(x)=log3x c. f(x)= -log5x d. f(x)=log13x

Q: Up to scaling, the graphs of logarithmic functions are identical. True False

A: The logarithmic functions are given by: f(x)=log10x, f(x)=log2x, f(x)=ln x=logex

Q: 10 The graph of y= log x is shown in red, and 10* is shown in blue. Compare each of the following:…

A: Graph of log and Exponential function

Q: 4. If f(x) = log x-4 and g(x)= x+4 , for what value(s) of x is g(f(x)) undefined?

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Q: Assume that the function f is a one-to-one function. (a) If f(6) = 7, find f-¹(7). Your answer is…

A: NOTE: As per our guidelines, I have solved one problem. If you want the answer of other, kindly post…

Q: The graph of f(x) = log (x + 3) – 4 is the graph of f(x) = log x translated 3 units left and 4 units…

A: If the basic function is y=f(x), then the graph of the function y=f(x+a) is obtained by shifting it…

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

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Q: Describe how the graph of f(x) = log x is related to g(x) = log x.

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Q: Which of the following statements is correct? The graph of y = logs r is identical to the graph of y…

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Q: Note: m=4 3. a. Graph the following function: f(x) + 4 = 3–2x-m + 8 b. Solve the following equation:…

A: Remark:  We know that ln(ab) = ln(a) + ln(b) Also ln(a/b) = ln(a) - ln(b) ln(ab) = b ln(a)

Q: Write an equation for the transformed logarithm shown below f(x) - to

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Q: f(x) = log2 (x - 5)

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Q: The logarithmic functions, f(x) and g(x), are shown on the graph. -3 g(x) -2 6 LO 5 3 1 0 2 f(x) =…

A: Functions

Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: 17. If log x=0.2, find the value of log.x√x

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