Here are your discussion problems for week 8. 1.   Use the properties of logarithms to solve the following equation.  log7(x+2)=log7(14)−log7(x−3)

Q: 1. 8*= c| 2. e° = m 3. e9 60 63 4. n = 10h 5. log()

A: Part 1) To solve the equation 8b=c for b, Apply the ln on both sides, ln8b=lnc Apply the log rule,…

Q: was given the equation log(y)=-3log(x)+log(4). I need to graph it on a double log graph, but I am…

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Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

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Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: d) log, V5 e) log, () f) log, a

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Q: Below is a logarithmic equation, with numbers (represented here as letters z and y) that are…

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Q: If log (x) = 2.9 and log (y) = 2.1, how do x and y compare? (Round your answer to three decimal…

A: Answer and explanation is given below

Q: Consider the equations g(x)=log(x+5)and h(x)=−x−6. To the nearest tenth, what is the solution of…

A: Consider the equations ,  g(x) = log(x+5) and h(x) = −x − 6 We have to find the solution of g(x) =…

Q: What will be the value of x for given logarithmic equation 10ln(x2-10)+2=8?

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Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: Which of these are equivalent to log 1? yz?

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Q: consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of…

A: Given that g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: *Use the following graphs to answer the next question* Graph 1 Graph 2 Graph 3 Graph 4 NR4. Follow…

A: The graph of the function are  y=ax,a>1 y=ax,0<a<1 y=logax,a>1…

Q: One of your classmates used Chegg.com to solve the equation 3^2x-1= 4^3+x and was given the…

A: Given: 32x-1=43+x

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: The pH scale was designed to make it convenient to express hydrogen ion concentration: that are…

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Q: lor X your answers to nearest hundredth). Show all of a. 2 100 log,(x- 1) = 2.1| b. Solution process…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Given that log10^2 = 0.3010 and log10^3 = 0.4771, please find the following logarithm without using…

A: Recall the following facts.

Q: The 2013 earthquake in Bohol and Cebu had a magnitude of 7.2, while the 2012 earthquake that occured…

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Q: what will be the value of x for the given logarithmic equation 10ln(x2-10)+2=8?

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Q: Express the following logarithms in terms of ln 5 and ln 7.e. ln 0.056          f. (ln 35 + ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: If log (x) = 3.0 and log (y) = 2.4, how do x and y compare?

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Q: In other words, if y = bª, express x in terms of y.

A: given y=bxwe need to express  x in terms of y we use the following property  lnab  =   b lnalogab…

Q: Wilson wants to know how long it will take his $1000 investment to double in an account that is…

A: The equation to represent in exponential equation is -  2 = (1.015)4t We have to solve for 't'.

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.

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Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: Wilson wants to know how long it will take his $1000 investment to double in an account that is…

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Q: Solve for æ without using a calculator. 31. log, x = 8 32. log, x = 10

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

A: Given the functions y=log3x and y=log3x+2

Q: s(x)=(4x)^2x, find s′(8).  Enter an exact answer in terms of a natural logarithm.

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Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

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Q: If loga 2 = 0.41loga 3 = 0.64loga 5 = 0.94 loga(9a8) = ?

A: Compute the value of loga(9a8) as follows.

Q: How is the logarithmic function f(x)=logb X is related to the exponential function g(x)=b^x What…

A: Given function

Q: What is the value of log2 1/4

A: Recall the general formula for logarithm as shown on the white board.

Q: Express as a sum or difference of logarithms without exponents. log c 5 3 y z

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

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

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Q: The magnitude, M, of an earthquake, is represented by the equation M=2/  3 log (E/ E 0) where E is…

A: Introduction:Denote the magnitude of an earthquake as M.Denote the amount of energy released by the…

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

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Q: what is the natural logarithm of 1/e^xy a. 2.718xy b. xy c. 2.718/xy d. 1/xy what is the…

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Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Given log b 2 equals A and Log b 3 equals B, what is the value of log b 4/3

A: It is given that logb2 = A and logb3 = B.Obtain the value of logb (4/3) as follows.