Determine whether the equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log (x +7) log (x + 7) - log (5x) = log (5x)

Q: Determine whether the statement, logb(x3 + y3) = 3 logb x + 3 logb y is true or false. If the…

A: From the right side of the expression we get

Q: Determine whether the statement, If log(x + 3) = 2, then e2 = x + 3 is true or false. If the…

A: The given statement is false, because the base of log is 10.

Q: If log3 x + log3(x + 1) = 2, then log3_______ = 2.

A: Given: log3x+log3x+1=2

Q: Igebraically solve log, (x + 1) + log, (x- 5) = 1

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Q: Solve: log2 x + log2(x - 7) = 3.

A: Consider the given equation: Here the objective is to find the value of x.

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A: Here, we need to simplify for both the logarithmic function. For (a),     log7149=x⇒x=log7149Apply…

Q: solve log2 x-log2(x-1)=1

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where…

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Q: Use the Laws of Logarithms to combine the expression 3(log7(x) + 2 log7(y) – 4 log7(z)) -

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Q: Solve. Remember to check your answer. 4. 2 log2 3x 3-log,x- 3

A: Solve as follows.

Q: Simplify the expression log(x-x-6)–log(x²-5x+6) restrictions on the variable. as a single logarithm.…

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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Q: What is the value of x in logx 27 = - 3? A. - В. 3 С. 9 D. 81

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: express the numbers in terms of natural logarithms. cosh-1 (5/3)

A: We have given cosh-153 Let x=cosh-153 ⇒coshx=53 We know that coshx=12ex+e-x Therefore,…

Q: Write the equation in its equivalent exponential form. Then solve for x. log 2(x- 1) = 4 log 2(x -…

A: First you will find the equivalent exponent form for the given logarithmic equation and then solve…

Q: Determine whether the equation log6[4(x + 1)] = log6 4 + log6(x + 1) is true or false. Where…

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Q: In the steps below, there is an error. Identify the error and explain how to correct it. log x + log…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Determine whether the equation is true or false: log(x + 2)/log(x - 1) = log(x + 2) - log(x - 1).…

A: we have to determine whether the given statement is true or false. log(x + 2)/log(x - 1) = log(x +…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A: Here we use some properties of logs to expand the given function.

Q: Solve. log3(x)+ log3(x-8) = 2

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: We know, ln(x·y) = ln x + ln y lnxy = y ln x

Q: Solve the inequality. log(x - 2) + log(9 - x) < 1

A: log10x-2+log109-x<1Apply log rules, we getx-29-x<10  and  x-29-x>0   Solving, we get…

Q: Determine whether the equation is true or false. Where possible, show work to support your…

A: Let log6x-1 be a. Thus,  log6x-1=a6a=x-1   Let log6x2+4 be b. Thus, log6x2+4=b6b=x2+4

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

A: We are going to use the exponential definition of logarithm. a) In this part a=x, b=64, c=3 Using…

Q: Use logarithms to solve the equation 3^(x^2-4)=2 for x.

A: Given data:     The given expression is: 3(x^2-4)=2.     Write the given expression can be written…

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

A:

Q: If logax=loga8 Then find the value of x

A: To find the value of x

Q: Determine whether the equation is true or false: log6(x - 1)/(x2 + 4) = log6(x - 1) - log6(x2 + 4).…

A: Consider the given: log6x−1x2+4=log6x−1−log6x2+4 Solve Right Hand Side: log6x−1−log6x2+4

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: Use the Laws of Logarithms to combine the expression.

A: To combine the expression following properties of logarithm will be used. The sum property is…

Q: Determine whether the equation is true or false: x log 10x = x2. Where possible, show work to…

A: Consider the following formulae: logmn=nlogmlog10=1 Consider the following expression:…

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: Write the log equation as an exponential equation. You do not need to solve for x. log (5x + 4) =…

A: Given: log8 (5x + 4) =3x -4 Taking base of 8 on both the sides: => 5x+4 = 83x-4 OR =>5x+4 =…

Q: Determine whether the equation is true or false: log6[4(x + 1)] = log6 4 + log6(x + 1). Where…

A: Given: log64x+1=log64+log6x+1 To Determine: Whether the given statement is True or False. Concept:…

Q: log2 (r² – 1) + log2 (1) = 13+ log, (x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: Solve equation: loga(2x - 1) = 2 Select one: O a. x-4 O b. x-4 Oc. X- -5 Od. x-5

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Q: Write the equation in its equivalent exponential form. Then solve for x. log 2(x- 1) = 4 log2(x-1) =…

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Q: Write the log equation as an exponential equation. You do not need to solve for x. log2z (5x) = 3

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.…

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Q: Solve-Show work and give decimals if you have to. 1.) Log (6x+1)=2

A: we have to take anti logrithum both side if  logfx=a then fx=ea

Q: Solve algebraically for all values of x: log2 (* + 2) + log2(x- 5) = 3 |

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Q: If log(x + 3) = 2, then e2 = x + 3.Determine whether the statement is trueor false. If the statement…

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Q: Write the equation in its equivalent exponential form. Then solve for x. log 2(x - 1) = 4 %3D log…

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