a. Use a graphing utility and the change-of-base property to graph y = log3 x. b. Graph y = 2 + log3 x, y = log3(x + 2), and y = -log3 x in the same viewing rectangle as y = log3 x. Then describe the change or changes that need to be made to the graph of y = log3 x to obtain each of these three graphs.

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

A: Domain of log is always greater than 0 .

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

A: We have to find x

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: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

A:

Q: The graph of g(x) = 5 + log2 x is the graph of f(x) = log2 x shifted _______.

A:

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

A:

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

A:

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

A:

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

A:

Q: The graph of the function f(x)=log6(x) is stretched vertically by a factor of 7, reflected over the…

A: our objective is to find the function.

Q: Find the equation of the line l illustrated in the figure above, given that f(x)=10x and the point A…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is the first point is…

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

A:

Q: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

A: condense to a single logarithm with a leading coefficient of 1  -log base b(1/2)

Q: f(x) = log x (0<xs 10)

A: Logx graph is shown below

Q: Write the equation for the graph shown. (6-2) O y-- log(x – 4) +1 Oy = log(z + 4) - 1 O y = log(z –…

A:

Q: Sketch the graphs of ƒ(x) = log2 (x) and g(x) = −log2 (x) in the coordinate plane.

A: Graph of logarithm

Q: Find the largest value of æ that satisfies: log, (a) – log6(x + 2) = 2

A:

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 3, reflected over the…

A: Given: The parent function is f(x)=log10(x). Transformations: 1) Stretched vertically by a factor of…

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: The graph of g(x) = log;(x + 5) is the graph of f(x) = log3 x shifted

A: gx=log3x+5 and fx=log3x

Q: Determine the numerical value of the following expression without the use of a calculator: *+ log2…

A: Consider the provided expression,

Q: 1. Write as the sum or difference of logarithms V5 log3- q2p a) log3 5 - log3q - log3p b) log3 5 -…

A: Given logarithmic expressionlog35q2p

Q: Choose the function to match the graph. Of(x) = log x + 5 Of(x) = log x-5 f(x) = log (x + 5) Of(x) =…

A: Here Function value is 0 at x=6 , (from Graph)   and we know that log(1)=0  so at x=6,   log(x-5)…

Q: Suppose we know that log(x) = 7.3. Find the following values. (a) log(10x) (b) log(1000x) log ) (c)…

A:

Q: A student was asked to determine the y-intercept for the logarithmic function f(x) = log₂(x + 3) +…

A:

Q: A semi-log chart is created in which the y-axis has been converted to base 10 logarithms. At a…

A: If the value on y axis is exactly between 3 and 4 then Log10(y)=3.5 where y represents the actual…

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: Use the following information to answer the next two questions The graph of y = logx is transformed…

A: Here we have to transform the graph of y=log(x) to the graph of y=log(2x-8).

Q: Given that the point (35,6)is a point on the graph of g(x)=log2(x)what is the corresponding point on…

A:

Q: Graph the function using a graphing utility and the Change-of-Base Formula. y = logx+2 (x - 2)

A: Given function is y=logx+2x-2

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: Sketch the graph of the following logarithmic functions. 2.f (x ) = -log(r - 3

A: Given that : - f(x)=-log(x-3) The graph of the function f(x) =?

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

Q: given that log109=0.95 and log102= 0.30 to two decimals places evaluate the following log10900

A:

Q: Based on all of your vast math knowledge, what do you think will happen to the graph of y = log, x…

A: The given function is: y=log3x

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Given that the point (89,5)is a point on the graph of g(x)=log3(x) what is the corresponding point…

A:

Q: Graph the function using a graphing utility and the Change-of-Base Formula. y = logx-1 (x + 1)

A: y = logx-1 (x + 1)

Q: Which of the following is the graph of y log.(2x +1)? 1. -1 -1 -2 (а) (b) 1 -3 -2 -1 O a O d

A: By putting various values of x we can find the corresponding values of y and then graph the equation

Q: 5. Draw the graph of each of the following logarithmic functions. a. f(x) = - log x c. (x) = log – x…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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

A: Given that 0&lt;a≤4 Rewrite the function as:

Q: Graph the function using a graphing utility and the Change-of-Base Formula. y = log4 (x - 3)

A: Given function is  y = log4 (x - 3)

Q: Which of the following would is a Step in solving for x ? %3D log2 (8x) + log, (3x- 5) = 3 O log,…

A: We have to find the step which is involving in solving for x: log28x+log23x-5=3 We know the product…

Q: 26) Graph the function f(x) = log5 x – 1 and its inverse on the same set of axes.

A:

Q: Each of five students made a different statement about the graph of y= 0.5 log x.

A:

Q: Use the parent graph of f(x)= log x to find the equation of the following graph? |a. log (-x) b.…

A: From the figure it is observed that j(x) is the reflection of f(x) across  the y axis.  Therefore,…

Q: Choose the graph of y = log,(z + 4) %3D Calculator

A:

Q: Find the equation of the line l illustrated in the figure above, given that f(x) = 10" and the point…

A: First of all we will find the coordinates of the two points where this line intersect with the…

Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find