Identify the domain of the following functions: a) f(x) = log(– 6x + 6) %3D - Domain: b) f(x) = In(7x – 2) - Domain: c) f(x) log,(– 8x – 7) %3D - Domain:

Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

Q: If log2(7x+6)=1, then x=

A:

Q: Find the exponential function f(x)=ax whose graph goes through the point (2,4). a =

A:

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

Q: Differentiate. a) y=log2(3x) b) f(x)= -7 log(x2) c) g(x)= x6log(-4x) d) h(x)= log8(2x4-3x)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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: Find an exponential function of the form f(x) = bax + c for the graph.

A: Given function-  f(x)= bax+c ----(A)  The curve (A)  is passing through ( -1,9) So putting x=-1 and…

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: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

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: Given y = log3 (3x – 2) , what is -

A: y=log3(3x-2) To find: dydx

Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9 + In(X2 -12x+36),  x>0

A:

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: og (x2 + 2x - 8) = 2 + log (x + 4)

A:

Q: Find the domain of f(x) = log4(x + 3).

A: We have to find the domain of logarithmic function: fx=log4x+3 We know that for any logarithmic…

Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9+ In(X2 -12x+36),  x>0

A:

Q: f f(x)=(5x)^9x, find f′(2). Enter an exact answer in terms of a natural logarithm.

A:

Q: Solve for the value of x in log 2 (2x+12) = 5. %3D

A: If  logxy = z then,y = xz

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

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

Q: Suppose f(x) = log(Va- 5) and g(x domain of (f – g)(x). T-25 %3D State the x2-30x ||

A: In the given question, the concept of domain is applied. Domain The set of a function's available…

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

A:

Q: The domain of log, (x) is

A:

Q: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

A:

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

A: f(x) = logax   Point ( 2 , -4) = (x, f(x)) a = ?   a is positive value.

Q: Find x using logarithmic rules. 2.6x = 4x+1

A:

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

A: Given that: Graph of f(x)

Q: Find a formula for the exponential function passing through the points (- 2, 250) and (1, 2) f(x) =…

A: We have to find a formula for the exponential function passing through the points (-2, 250) and (1,…

Q: Express as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: Find the domain of the logarithmic function f(x) = ln(x2 - 4x - 12).

A: Given :         f(x)= ln(x2-4x-12).

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: Identify the domain of the following functions: a) f(x) = log(- 10x - 4) %3D Domain: b) f(x) = ln(9x…

A:

Q: Find the exponential function f(x)=a whose graph is given as:

A: From the graph we can see that the value of function at x = -1 is f(-1) = 3   Now we will look the…

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

Q: Find the domain of the logarithmic function : f(x) = ln(x2 - 4x - 12)

A: Our Aim is to find the domain of the logarithmic function:-f(x)=ln(x2-4x-12) -(i)

Q: Find the exponential function f(x)=a whose graph is given as

A: Here we have to find the exponential function whose graph is

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

Q: Find a formula for the exponential function f(x) = Ca² passing through the points (2,75) 3 (-1, ³).…

A:

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

A: We have to find

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

Q: f(x) = 3x + log(9x − 8), find f(2). f(2) = ?

A: Given a function f(x) , need to find f(2).

Q: If c=log 2, what is log 0.8 in terms of c?

A:

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

A: Given function: hx= log3xx-1