a) log(x? - 4) – log(x – 2) b) log(x+7x + 12).

Q: 6. The logarithmic function f(x) = In(x – 1) has the asymptote x %3D

A: Given, Logarithmic function, f(x)=ln(x-1)

Q: 18. Find the domain and range of g(x) log2(x+3).

A: Domain of log is always greater than 0 .

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A:

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

A:

Q: 4 log 4(x + 4) -p- X+4

A: Given: ∫04log4x+4x+4dx

Q: -16 (ii) log,(x– 2)+log,(x) =1 32

A:

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: i) log,(r + 3) + log2(x + 5) = 3

A: We use the identity loga(b)=c so that a^c=b. See 2nd step.

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: Practice 5.9 Question #9

A: Given:

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

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

Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

A:

Q: 4 log 4(x + 4) -dx3= xp- X+4 0.

A: Given : ∫04log4x+4x+4dx

Q: f (x) = x* (Domain and Range) f (x) = log2x-1(x² – 3x – 10) (Domain only)

A:

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

A:

Q: 5.5 = - log(r)

A:

Q: #11

A:

Q: 49. log2 x > 3 - 3

A:

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

A:

Q: How are the functions ax and log ax defined? Are there any restrictions on a? How is the graph of…

A: Proving that both the functions are defined. Logarithmic functions are the inverse of exponential…

Q: 77 Given loga 3 = 5, loga 7 = -2, and log, 11 = 4, find loga 3a2

A: Given, loga3=5, loga7=-2 and loga11=4

Q: 3) In x-log x = 1. Answer should be in the natural exponential form. %3D

A: This is complicated and lengthy problem, so I can do it in Advanced Mathematics.

Q: f(x)=3x+3-18 and f-1(x)=log3(x+18)-3 Show that (f•f-1)(x)=x

A:

Q: sin³ (x)(2x+5)6 Find y' if y = Text=s) log,(2x)' -5

A: We have to find derivative of the given function

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: 1+x2 Through the proof of the logarithmic form of the function y-cschx-In(- |x| which of the…

A: The logarithmic function is the inverse function of the exponential function. The logarithmic…

Q: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

Q: 2 lim log 10* X-1 8. -3 lim log,(x-2) x-9 А. 3/2 В. 2/3 C. 1/3 D. DNE

A:

Q: Log4(x2+8) using base e

A: Given  The logarithmic expression is Log4(x2+8) Change of base formula for log

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: The graph of a logarithmic function is given. Match each graph to one of the following function…

Q: log, (x + 1) = 2 + log, (3x – 2)

A: We have to solve the equation: log4x+1=2+log43x-2 We know the properties of logarithm,…

Q: How is the logarithmic function (x) = log2(x) related to the exponential function g(x) = 2×? The…

A: Given, fx = log2x gx = 2x

Q: 3.) y = log, - 6·x³ -6.x³ y' = %3D

A:

Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

Q: 3. 2 log x< log (2x-1)

A:

Q: log 3(x+ 11) + log 3(x + 19) = 2

A: Solution

Q: 5 log, (p + 1) +2 = -8

A:

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: Q2: Solve the Logarithms Equation. sin log2(3 - X) - log2 1 + log2(x + 7) 5-x

A: To solve the logarithm equation: log23-x-log2sin3π45-x=12+log2x+7 Solution:   Property of logarithm…

Q: a. Graph Y1 = log |x| and Y, = -log r². How are the graphs related? b. Show algebraically that -log…

A:

Q: 3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

A:

Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

A:

Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

A:

Q: b) Given that log, (y-1)+log,|| |= z and log, (y+1)+log, x = z-1, Show that y? =1+8² and find the…

A:

Q: log, 5 z 0.699 and log, 2x 0.301. Use one or both of these values to evaluate loga 125.

A:

Q: (c) log2(6) – 6 log2(x) + 2 글 1og2(x + 1) - 6. log, (x – 1) 2 |

A: Given:log26-6log2x+12log2x+1Logarithm formula:logam+logan=logamnlogam-logbn=logamn

Q: b. log(x*) – log(2x – 1) = log(x?) + log c. log1 3 + logi x < log1 5+ logı (x - 2) 2 2 2 d. log3 (x…

A: Given logarithmic function