Graph the three functions y = xa, y = ax and y = loga x together on the same screen for a = 2, 10, and 20. For large values of x, which of these functions has the largest values and which has the smallest values?

Q: Given log x3= 0.4771 and log x7= 0.8451, find value of log x 49/3

A: We use the division property of log to expand the given expression.

Q: Determine the value of æ that satisfies the following equation. log, (x + 12) + log, (x+6) = 2

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Q: Find a formula for an exponential function y=f(x)  whose graph contains the points (-10,36) and…

A: The general form of the exponential function is:

Q: Find a formula for the exponential function passing through the points (-2, ) and (2,32) y =

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Q: x*dx + y C x-) dy =0

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Q: If  loga(x) = 1.5  and  loga(y) = 2.8,  find the following using the properties of logarithms. loga…

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Q: Write the expression as the logarithm of a single quantity. 1 3 (6 In(x + 5) + In(x) – In(x² – 6))

A: By using logarithm property, we calculate the given expression.

Q: 2 In x - In y + 1 5

A: we know that logarithmic properties :  1 ). ln ( a • b ) =ln ( a ) + ln ( b )  2 )  ln ( a n ) = n…

Q: Write the expression as a logarithm of a single quantity. 1 In(x + 2) – 2 In(1 + Vx) 2 In(3) +

A: We have to write the given expression as a logarithm of a single quantity   The given expression…

Q: Write the expression as a logarithm of a single quantity. + In(x + 5) – 3 In(1 + Vx) 2

A: Given expression is ln6+12lnx+5-3ln1+x We have to write given expression as a logarithm of a single…

Q: Find x in the following equation. log x + log(x-2) = log15 X=

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Q: State the domain and range of the function f(x) = log3(x + 4)

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Q: . Graph the functions by changing to exponential form.a. y = log3x         b. y = log5x

A: a) y=log3xb) y=log5x

Q: If  loga(x) = 1.5  and  loga(y) = 4.7,  find the following using the properties of logarithms.…

A: properties of logarithmslogaxy=loga(x)loga(y)Nowloga(x)=1.5loga(y) = 4.7

Q: Make sure your final answer is written as a single logarithm. −7log(z)+8log(x)−2log(y)

A: We will use the following properties of logarithm.

Q: find the domain of each function.

A: h(x)=log3xx-1

Q: Match each equation with a graph above a. green log(x) b. blue C. red 10" d. black - In(x)

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: Find the domain of each logarithmic function. H(x)= log2(x - 3x + 2)

A: Given, Hx=log2x-3x+2

Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

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Q: State the domain, range  and x/y intercept for  F(×)=log2(x+2)-5

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Q: Find the value of x if log; (a + 2) = 2 %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the domain of each logarithmic function. F(x)= log5(2x + 1)

A: Given function is F(x)= log5(2x+1). It is required to find the domain of the function. The function…

Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Graph the Exponential Function y log, (x) by plotting the Horizontal Intercept and one other point.…

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Q: If e-x = 3.2, write x in terms of the natural logarithm.

A: Given e-x=3.2

Q: Given y = log, 16. The value of y=

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Match each equation with a graph above 10 a. blue b. green In(x) c. black d. red log(x)

A: .

Q: Find the largest value of x that satisfies: log, (a?) – log, (x + 2) = 3

A: log6(x2)-log6(x+2)=3

Q: Which of the following graphs represents the function below? (log (x + 3), x4

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Q: For Exercise, solve for the indicated variable. L = 10 log| |for I (used in medicine)

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Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

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Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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Q: Find the hydrogen concentration of tomatoes If Its pH Is 4.5. (Hint: pH =- log H*])

A: find the concentration oh hydrogen by using the apply logarithm property

Q: What is the x-intercept of the graph of y = log, (x +5)? O (1,0) O (-5,0) O (-4,0) O (4,0)

A: The given problem is to find the x intercept of the given graph function Given function y= log3(x+5)

Q: If log x = 6.3 and log y = 8.3, how do x and y compare?

A: If log x = 6.3 and log y = 8.3, how do x and y compare?

Q: Match each equation with a graph above O In(x) a. green 10 b. black c. blue d. red log(x)

A: To match the equation with the graph is given above.

Q: Write the following expression as a logarithm of a single quantity, and simplify when 3 4 possible:…

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Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Find x in the following equation. log bx+ log b(x- 2) = log 35 II

A: Using logarithmic identities to solve the given logarithm as:

Q: Express as a single logarithm. log c(40) - log (5)

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Q: The final answer is written as a single logarithm.   7log(x)−8log(y)+2log(z)=

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Q: Find a formula for the exponential function passing through the points (-1, 5252) and (3, 40).y =

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Q: For what values of x is the equation  logb x8 = 8 logb x  true?

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Q: 1 log,(x-1)-log,(x-4) = 2log, 232

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Q: Write as a single logarithm and simplify if possible. 1. In(x²) – 4 In(y) – 61n(x³/2)+ 3ln(2y²)

A: This question can be solved using the properties of logarithm.

Q: Match each equation with a graph above: - v 107 a. blue - v log(z) b. red - ♥ In(x) с. black d.…

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Q: Find the value of x given ()" = log,4" -2/3 125 %3D 64

A: We have to find the value of x