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

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: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =…

A:

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: True or False The graph of f1x2 = loga x, where a 7 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Answer: True.

Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

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:

A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

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: 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: 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: Find the function of the form y = loga x whose graph is given.

A: Graph of the function is given we have to find its equation of the form y=logax Formula:logax=y…

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: snip

A: The exponential function and the logarithmic function is strictly increasing functions for x > 0.…

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

A: Gven Data The function of the percentage of adult height attained by a girl is f(x)=62+35 log (x-4).…

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

A: Given,           The graph of the fuction is shown below :

Q: Find the function of the form y = loga(x) whose graph is given. У 3 4 -1(1/6, –1) 2.

A:

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: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Find the function of the form y = loga x whose graph is given.

A: Let the function of the form y=logax Given graph:

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

A:

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

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: State whether the following statement is true or false. Because the domain of ​f(x)=logax is the…

A:

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

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

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

A: To Discuss: a. Does fx=logarithm x, with base 12 approaches a certain real as xincrease positively?…

Q: Prove: logaxr = r loga x.

A: Given equation: loga xr=r loga x

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x10°.…

A: Given,          The function is fx=x10x.

Q: 5. Find the derivative of the following Natural Logarithm functions f(x) = In(3x – 4) a. b. 2

A:

Q: snip

A: Given statement is the graph of the exponential function fx=ax, where a>0 and a≠1, has no…

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: The logarithmic parent function y = log (x) has been transformed. What is the equation of the new…

A:

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: Is the function f(x) of exponential order?

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any…

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

Q: function

A:

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 RMS value of / logx over the range x = 1 to x = e

A:

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

A: Given function: hx= log3xx-1

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.