Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer. log 2(x+2)=-2

Q: Solve the following logarithmic equation. 2 In (x-7)= In (x+33) + In 2

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

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Q: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: Which of the following values of x represents a solution to log 5 (3X+10)= 2 ? Ox=0 O x- 14 O x- 5

A: We use logarithmic properties Logab= y then  b= ay

Q: Solve the given logarithmic equation.

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Q: Solve the following: log, (x-2) + log, (x ) = 1

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Q: Solve the following equation:   log 3  x  + log 3  ( x  -  6 )   =  3

A: Given: log3x+log3x-6=3 for solving this equation first we find domain of given equation we know that…

Q: What value of x will make the following equation true? log (2x+6) =1 -5 O x = 2. O x= 8

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Q: log, 49 = 2/3

A: As per given by the question,  The given logarithmic function is, Logx49=23 Now, Finding the value…

Q: Find the Domain of the following exponential and logarithmic equations and solve them: log, x+10…

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Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

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Q: Solve the following equation using the corresponding properties: log3 (5x + 7) = 2

A: I have written the used property in the side of solution step and easily find the required solution.

Q: Solve the following logarithmic equation. Give the exact value for full credit. log8(x+5) -…

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Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

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Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: Simplify the following expressions down to a single logarithm.

A: Using logarithmic Properties.

Q: 2x-1 = 3x

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Q: |Solve the following equation. If necessary, enter your answer as an expression involving natural…

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Q: Solve the logarithmic equation. log(4x – 8) = 2

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Q: Solve the logarithmic equation: log, (x + 6) + log,(x + 2) = 1

A: Definition used -                           logam+logan =loga(mn)                           If…

Q: Solve the following logarithmic equation. Give the exact value for full credit. log (x+1) + log (2)…

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Q: Please solve the following equation for x, exactly: log((3)(2x))=8.

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Q: Solve the following logarithmic equations. a) log2 (x) + log2(x +2) = log2(x + 12). In(x) + In(x -…

A: By Using logarithmic formula

Q: Solve the following logarithmic equation. log(r - 10) = log(20) %3D log, (10)

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Q: Find the domain and solve the following logarithmic equations log =4x %3D

A: Here, the given equation is: xlog2x=4x

Q: Solve the following exponential and logarithmic equations. When appropriate, write the answer as…

A: 1.Consider 10^6x = 3^(3x+4)

Q: Solve the following equation log(x)−log(2)=log(x)+8−log(x+2) (The answer I was given is X=4)

A: We need to solve the given equation for the value of x.

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: Solve the following logarithmic equation. log x+ log (x +9) = 1

A: Introduction: Scientists immediately adopted logarithms because of a spread of advantageous…

Q: Find the domain and solve the following logarithmic equations: log x+2 log x=8

A: since the given equation consist of log function , so the domain of the function will be all…

Q: Solve the following logarithmic equation. log 3(x+ 10) + log 3 (x+ 18)= 2

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Q: Solve the following logarithms for x. 12) log5 225 = 2x-6

A: given :

Q: Solve the following equations i st- 7 . log. () - 2

A: We are authorized to solve only 3 subpart of a question, please repost remaining questions Logarithm

Q: Rewrite the following log equation in exponential form: 5.9=ln(x/17)

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Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

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Q: Find x and express your answer in terms of natural logarithms. e 3X = 6

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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: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: What value of x will make the following equation true? log, (4*+) = 16 %3D

A: Given equation is, log445x+1 = 16 we need to solve for x. We can use properties of log for solving…

Q: Solve the following logarithmic equation: log, (z+4) + log,(z-2) 2 Round to the nearest hundredths,…

A: Handwritten solution is provided below log4x+4+log4x-2=2

Q: Solve the following logarithmic equation:  log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: Solve the following equation: Show all steps log(2x – 3) – log3 9 = – log x

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Q: 1. Solve the following equation for r: log, (15x + 12) – log,( - 2) = 2

A: Given equation  log6(15x+12)-log6(x-2)=2 To find the value of x

Q: Solve the following logarithmic equation: K•3 B-5 log2(x – K – B – 3) = log2 (x + K + B – 12) %3D

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Q: Solve the following equations log(x + 6) – log(x – 3) = 1 10* = 12

A: logx+6-logx-3=1

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

A: We can cancel the loga from both sides  So we get: