Find a so that the graph of f(x) = logax contains the point (2,2) .

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: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

A:

Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

A:

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

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

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Express in terms of logarithms of x, y, z, or w.  Given expression is log3 y5

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

A: Given that the graph of f contains the point (2,2). Thus,  f2=2loga2=2

Q: Sketch the graph of f.

A: the logarithm product property states that,…

Q: The graph of every logarithmic function f(x) = loga x, wherea >0 and a ≠ 1, passes through three…

A: Points for the logarithmic functions can be found with the help of the arbitrary points. Put such…

Q: When log y is graphed as a function of x, a straight line results. Graph the straight line given by…

A:

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: Find the domain of the function. g(x) = log5 (x + 1/x )

A: f(x)=log5x+1x

Q: Find the domain of y = log(2 – lx). The domain is:

A:

Q: domain of the logarithmic function f(x)= logax is

A: The domain of the logarithmic function f(x)= logax is given by

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: form is gi = = log x- %3D

A:

Q: Domain of the y = log, (r-3) logarithmic function is {r|x > 3}

A:

Q: Find a so that the graph of f(x)= loga x contains the point (1/2, - 4).

A:

Q: Determine whether f <<g or g<< f (or neither) for the functions f (x) = log10 x and g(x)…

A: Convert both lnx and log10x in terms of logx

Q: Find the domain of the function f(x) = log3(x + 6).

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: The natural logarithmic function f(x) = In x has the asymptote x =

A: Given: f(x)=lnx To Find: Asymptote of f(x). Concept: Vertical Asymptote: x=c is called vertical…

Q: The domain of the logarithmic functionf(x)=logax is _______.

A: We have to find the domain of the logarithmic function: fx=logax

Q: a) Express the new function h(x) = log2(x + 2) in terms of the original function f (X) = log2(x).…

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 domain of the function g(x) = log3 x + 6.

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: log, (x17 3 ,17

A: Given expression, log3x17 y173

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

A: Given that: Graph of f(x)

Q: Evaluate loge 7 by Simpson's (i) rd, and (ii) th rules.

A:

Q: use the definition of the logarithmic function to find X A) in x =3 B) in e^2 = x

A:

Q: Differentiate f (x) = loge (x26")

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: log (a.b) = log (a) + log (b) log (an)= n.log(a)

Q: Sketch the graph of f.

A: Given that, fx=3log3x

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

A:

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: Draw the graph of y = 3x, then use it to draw the graph of y = log3 x.

A: y = 3x and y = log3 x.

Q: Find the domain of the function. f(x)= log %3D

A:

Q: Differentiate the function.

A: To Determine: differentiate y=log2e-xcosπx Given: we have a function y=log2e-xcosπx Explanation: we…

Q: Determine the maximum and minimum values of the function f(x)=-4 •log 2x on the interval [1,4]

A: Given function is  on interval [1, 4].

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Explanation of the answer is as follows

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: Find the domain of the logarithmic function f(x) = log(2 - x).

A: Consider the given logarithmic function fx=log2-x

Q: Use the defination of the logarithmic function to find x.

A: Given: log x=3 log e2=x

Q: Draw the graph of y = 4x, then use it to draw the graph of y = log4 x.

A: Graphs of two functions which are inverses of each other are reflections of each other in the line…

Q: Prove that A log ƒ (x).= log|1+A7®) f(x)

A:

Q: Determine if the following statement is true or false. All log functions have no y-intercept because…

A: The logarithm function is given by the formula y=log(x). The logarithm function is the inverse of…

Q: Find constant A such that log3 x = A log5x , for all x > 0.

A: To find the constant A such that the below equation is true for all x>0.

Q: Use the definition of the logarithmic function to find x. In x = -1 In (1/e) = x %3D

A: First Part: Given, lnx=-1x=e-1lnex=a⇒x=eax=1e