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

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

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: Find the function of the form y = log,(x) whose graph is given. %3D y = y 2- -가 1/4,-1) 2.

A: Given: Provided graph is:

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: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

A:

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

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: The equation of the vertical asymptote for the function y= 4 log(x + 3) is Ox = 3 x = -3 Ox = -4 Ox…

A:

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

A:

Q: Sketch the graph of f(x) = log3(x + 2).

A: f(x)=log3(x+2)

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

A:

Q: Which of the following functions grow faster than In x as xoo? Which grow at the same rate as In x?…

A:

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: 1 (log, x)' 3x ise b =?

A:

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

A:

Q: Order the functions f(x) = log2 x, g(x) = xx , h(x) = x2 , and k(x) = 2x from the one with the…

A: Consider the given functions fx=1og2x,gx=xx,gx=x2,k=2x.

Q: snip

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

Q: at any point h (1, 1) is logx – x

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: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Differentiate the function with respect to x f(x) = 2* · log37*²-4

A: If hx and gx are two differentiable function and fx=hxgx Then f'x=gx×ddxhx+hx×ddxgx

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

A:

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have…

A: In this question, the concept of the logistic equation is applied. The Representation  of Logistic…

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

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

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: Find the equation of the line tangent to the graph of y when x 36. %3D log

A: Given y=xlog6x when x=36

Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

Q: Sketch the graph of f.

A: Given that, fx=3log3x

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

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

Q: 4. Which of the following functions grow faster than x2 as x→∞? Which grow at the same rate as x²?…

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Q: b- find x for following 1. logx = v2

A:

Q: Find a so that the graph of f(x)= logaX contains the point (21,2)

A:

Q: The equation y = log(x – 5) has a vertical asymptote at: - X =

A: Consider the equation  y=logx-5

Q: Sketch the graph of f(x) = log2x.

A: The graph of a function can be determined by making a table of points. Then the end behaviour of the…

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: 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: graph 3 points for G(x)=log3(x-4)+1 and show work

A: We have to find

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

A: Given function: hx= log3xx-1