Solve the following logarithmic equation. Use a calculator where appropriate. log x+ log (x- 3) = 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is { (Simplify your answer. Use a comma to separate answers as needed.) O B. The solution set is the empty set.

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

A:

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: 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 following equation. log8 x = 1/3

A: We firts use the exponential form of log.

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: What value of x will make the following equation true? 4 loga 3. 4 O 16 O 24

A: Give, The equation  log8x = 43  We have to find the value of x.

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

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

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

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: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: Solve the following equation. log10 x = 3

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Q: Given that log 3 = x,what is log 300 in terms of x? Select one: a. x + 10 O b. x + 100 о с. х + 2

A: Provided information is, log 3 = x On solving, x = 0.4771 And log 300 = 2.4771  log 300 - log 3 = 2…

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

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Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

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

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

A: Using logarithmic Properties.

Q: Give the translations that transformed the parent function into ?=log5(?−10)+8

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Q: Condense the into a following (b) Single logarithm. 2 In (x+1) +3 InCy)-Ź Incx)

A: Condensing the expression to a single logarithmic value

Q: (г — 1)0og{(e-1) — 100 (х — 1)

A:

Q: In(x + 25) – In(x – 1) = 3 e2x – 2e* = 15 e2x – ex – 12 = 0 e* – 12 = 0 |

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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: Use logarithmic notation to represent the solution to each of the following equations. If there is…

A: a) 7x=66b) 7x=1343c) 5x=-70

Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

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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 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: 1 log 3 27 |

A: To find : logx127=-34

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

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

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Q: Give both the exact answer value and the decimal approximation (if needed).  a.) log3(2-x)=3 b.)…

A:

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

A: given :

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: 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: D. log, x2 + log, x = 4 (use change of base) E. log3 5" F. ele=) = 15 12 %3D

A:

Q: Evaluate the following expressions without using b) log (0.1) 1. a calculator. a) log; (81)

A: The answer is found in step-2

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: log, x = 2

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

Q: Solve the following equation: log,(2x) = log,(2) + log,(5x – 1). %3D X =

A: GIVEN: log7 (2x) = log7 (2) + log7 (5x - 1)

Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

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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: Find the following logarithm. log_4(1)

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Q: Solve the following equations for x. Answers must be entered in exact form. (a) If log, 8 = 3, then…

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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:

Q: logs(2x-8) = log5(4x-10). ...

A: loga(x) =loga(y) this impies x=y