State the transformations that have been applied to log3 to obtain f (x) = -2 log3[2x – 6] - 4

Q: Write an equation for the transformed logarithm shown below. 1Uul dl and will be in the form f(x) =…

A:

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 7, shifted to the…

A: The function f(x)=log10(x) is stretched vertically by a factor of 7. So it becomes 7log10(x). Then…

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

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

A: The solution is given below.

Q: Find the domain of f(x) = log4(x - 5).

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Q: Find the value of x which satsfies the relation  log103+log10(4x+1) = log10(x+1)+1

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

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Q: Find a formula for the function graphed below as a transformation of y = log3 (x). 3 1 -3 -1 2 3. 5.…

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Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

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Q: Describe the transformations made to the parent graph to obtain this function: g (x) = -2 log (x +…

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Q: Find a formula for the inverse of f(x) = -1+ log2 x.

A: Given function is : fx=-1+log2x To find the formula of the inverse.

Q: 9⋅7x=3.5e^(2x) Find x using natural log

A: Given exponential equation is:Solve for x using natural log.

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: (a) In (x (b) log; 2y2

A:

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

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Q: Graph the function and its inverse on the same set of axes. f(x) = 3x; f -1 (x) = log3 x

A: Given: fx=3x and f-1x=log3x To Graph: fx and it's inverse f-1x on the same set of axes.

Q: Find the solution set for log3 2+2.log, x=|

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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: at any point h (1, 1) is logx – x

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

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Q: Select the solution(s) of log x = 2 - log(5æ + 5).

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Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Find the inverse of y=log1/5x

A: In inverse function y beacome x and x beacome y.

Q: Find the domain of the function. g(x) = log3(x2 - 1)

A: Given function - g(x) = log3x2-1For a logarithmic function to be defined, the input to logarithm…

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

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Q: dx Evaluate log - 1+ax 1-ах

A:

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: State the transformations that have been applied to log3 x to obtain f (x) = -2 log3[2x – 6] – 4…

A: We have to sketch

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: State the transformations needed to change the graph of f(x) = -4 log(x + 3) - 1 into f(x) = -2…

A: State the transformations needed to change the graph of f(x) =-4 log(x+3)-1 into f(x) =-2…

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: Graph the function and its inverse on the same set of axes. f(x) =4x; f -1 (x) = log4 x

A: The inverse of a function is in a literal sense the reverse of the function. The values of the input…

Q: Expand the log by using the properties of log.

A: The given log function is,

Q: (а) е" =D1 %3D (b) log(x – 3) + log(x - 6) =

A: Given that: (a)ex2-9=1(b)log(x-3)+log(x-6)=1

Q: Given 2 log3(x + y) = 2 + log3x + log3 y, show that x² + y² = 7xy.

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Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

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Q: The parent function h(x)= log3 (x) is tranformed into j(x)= 2 log3 (x + 3) – 7. Using complete…

A: Proceed as explained below...

Q: Graph y = log a 2 as a function of a over the interval 0<a<= 4.

A: Given that 0<a≤4 Rewrite the function as:

Q: 3. List the steps and explain the effect of each transformation to graph the function y =-3 log(-2x…

A: Let us first draw the graph of y=logx. First Transformation y=log(-x) Graph will reflect along…

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: given log y+3 log(x+2): REWRITE as a single log

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Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

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Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: g(x) = 3 log 2x (0 < x< 10) %3D

A: Here we make the table value and draw the graph...

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

A: We have to find

Q: Express

A:

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

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