1. How does the graph of f (x) = log(10000x) compare with the graph of ƒ (x) = log x.

Q: Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)

A: To determine the x- intercept of the graph of the function.

Q: Suppose that f is an exponential function with percentage growth rate of 6% and that  f(0) = 4.…

A: Usr formula of exponential  functions

Q: Determine the y-intercept of the exponential function h(x)=e^x

A:

Q: 10. Sketch the exponential function: ƒ (x) = (²)* — 3 - x-intercept y-intercept

A:

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: If the graph of a logarithmic function f(x) = loga x, wherea > 0 and a ≠ 1, is increasing, then…

A: Since in logarithmic function value should be positive. Therefore, in fx=logax the value of x must…

Q: How does the graph of J (x) = log(10000x) compare with the graph of f (x) = log x

A: We have that the graph of fx=log x is:

Q: Graph Y1 = log(x2) and Y2 = 2 log(x) using a graphingutility. Are they equivalent? What might…

A: the two function are , y1=log(x2) and y2=2log(x) . the graph of the two function will be as follows

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: The graph of y =log(3x) has..

A: Given,          The equation is y=log3x.

Q: If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to find resulting function.

Q: Find the equation of the vertical asymptote f(x)=log(x+5)

A:

Q: Compare the graphs of f(x)=2x+4 and g(x)=log2(x-4). What line are the two functions reflected over?

A: Topic- function

Q: Suppose f(x)=3•27x , find a constant b such that the graph of log b f has slope 1. b=?

A: Given

Q: Y = log, (x-s) 3.

A: As we know from the logarithmic property; If logba=c;  b>0,b≠1,a≠0 then bc=a

Q: A manufacturing company finds that the number of products they can manufacture, X, is related to the…

A: First, we have to calculate the profit from the profit function P, then we can calculate the profit…

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

A:

Q: How would the graphs of   y=log(x8) and   y=8⋅log(x) compare?

A: Here we have to compare graphs of y = log(8x) and y = 8log(x)To compare the above given graphs let…

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

Q: The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left…

A: Given: The given function is fx=log7x To find: Find the equation after fx is stretched vertically by…

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

A:

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

A:

Q: snip

A: The domain of a function is set of values for which the function is defined. For a logarithmic…

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

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: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: Find the domain of the function. h(x) = log3 [ x/ (x - 1) ]

A:

Q: Find the function of the form y log,(x) whose graph is given.

A: Given that: Graph of f(x)

Q: 6. For the exponential function given below: f(x) = -2x-1 +4

A:

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

A:

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

A: Solution

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

A:

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: How is the logarithmic function f(x)=logb X is related to the exponential function g(x)=b^x What…

A: Given function

Q: Just as exponential functions are distinguished by their rapid rate of increase, the logarithm…

A: Consider the graph:

Q: True or False The graph of f(x) = loga x, where a > 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Given function is, fx=logax, where a>0 and a≠1.   Use the properties of logarithmic function, The…

Q: You are given that the natural log of 3 is approximately 1.10 (i.e., ln 3 = 1.1). Suppose an…

A:

Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

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

A: Graph of f(x):

Q: Find the function of the form y = loga(x) whose graph is given. y 1.0| 0.5 (2, 1/3) 0.5 1.0 1.5 2.0…

A: Function passes through the point (2,1/3) which satisfy the function

Q: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun…

A:

Q: What happens to the graph of an exponential function when the initial value, a, is less than 0?…

A:

Q: Find the domain of the function. h(x) = log3 ( x/(x - 1))

A: Given function: hx= log3xx-1