V2x-9 Example 7: Find the domain of f(x) log2 (4x-

Q: (1) Determine the largest possible domain, intersection with axes and sign of the function f(x)…

A: To  Determine: The largest possible domain, intersection with axes and sign of the functionGiven: we…

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

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

Q: log 4- log(x-6)= -1

A: We have to solve x

Q: lim x³ (logx)²

A: To evaluate: The limit limx→0x3log x2 Calculation: The limit of limx→0x3log x2 can be evaluate as…

Q: What is the domain of f(x) = log2(x - 1)? %3D (1, infinity) all real numbers O (0, infinity) (-1,…

A: domain =?

Q: log4(x - 2) = 1

A: Given: log4x-2=1 To find the value of x

Q: log (x-4) log (x-4) = 1 4 | -6, 6

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Q: log2(x-3)=3

A:

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

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: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

A:

Q: 7) f(x) = 7 log5(x5 – 9x)

A:

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

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: log(x-9)=1-logx

A: Consider the given logarithmic equation.Use the rules of logarithm and simplify the equation as…

Q: log3 (3x + 8) = log3 (x² + x)

A: We have the given expression as   log33x+8=log3x2+x   We know that logab=logbloga

Q: Log(2x+1)-logx=2

A: Given equation is: log(2x+1)-logx = 2

Q: 2log(x)-log2(x-3)=2

A: Given: -

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

A:

Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

A:

Q: log3 = X-1 3 √3-2x

A:

Q: x-1= log, /3 Domain Example: x=3; x=5 Solution Example: x=3; x=5

A: We have to find

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

A:

Q: 1) loga (x") = r loga(x) 2) loga (x · y) = loga x + loga y 3) loga (-) = loga(x) – loga(y) Example…

A: Solution: The objective is to expand the given logarithmic function

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

A:

Q: log3 (x+5) -log3 (x-7)=2

A: We need to solve the following equation log3x+5-log3x-7 = 2

Q: log (x² - 9) = log (5x +

A:

Q: Find the domain & asymptote of:   y=log4(x)-3

A:

Q: B- log2(3x + 5) - log2(x - 5) = 3

A:

Q: 3.) y = log, - 6·x³ -6.x³ y' = %3D

A:

Q: EXAMPLE 11 Drawing the Graph of a Logarithmic Function Draw the graph of the function y = x In(4 –…

A: Graph of the function is representation of the function of y-axes with respect to numbers in x-axes.…

Q: log 2 x+ 2) + log 2x- 2) = 5

A:

Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: 4- 1 What is the solution set of the equation log4(x+4)- 2loga(x+1) = %3D

A: Solve the given logarithmic equation as follows.…

Q: log(3x-1)=log(4-x)

A: The given equation is log (3x–1) = log (4–x).

Q: 4log 3 - 3 log 3 =

A:

Q: Iflog1,2, log10 (2* -1) and log10 (2* +3) are in A.P then find the value of x.

A:

Q: logix +log, (x- 12)=3

A:

Q: log(4+x)-log(x-3)=log4

A: Given equation is log(4+x)-log(x-3)=log4 By using the result log(m)-log(n)=logmn, we get…

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

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Q: log3 (x) + log3 (x-2)=1

A:

Q: (1093x-21093x+5) The equation log3x-2 X exactly three real solutions at least one real solutions =…

A: Consider the given equation, xlog32x-92log3x+5=33 Let us assume that log3x=m,…

Q: 13) Graph f(x) = log6 x. What is the domain of the function?

A: Given function f(x)=log base 6 of x  Now put the values of x to find the f(x) values  x=0.…

Q: log2(x+2)+log2x=3

A:

Q: 6. Find the domain of f(x) = log, [log, [log3(18r – x² – 77)]]

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Q: log(2x-3)-2=log(4x-1

A: Given log(2x-3)-2=log(4x-1)We need to solve for xlog(2x-3)-log(4x-1)=2

Q: What type of function is f(x) = 2x3 – 4x2 + 5?

A:

Q: Sketch a graph of the function y = log2(-2x + 2) – 1 y= log,(-2x+2) – 3 . State the domain, the…

A: Consider the given equation whose graph is required to solve.

Q: log (3x +4) = log (5x-7) %3D x=2 x=11 x=2/11 x=11/2

A:

Q: log,(3x - 1) = log,(10x-9) Domain Example: x<-3; 3<x<7; x Solution Example: x=3; x=5

A: