Solve each equation without using a calculator. Some solutions will need to be expressed using log notation. 1. 4. 107 = 400, 000 2. 10(n+1) = 1 3. 103n = 1,000, 000 4. 10P = 725 5. 6· 10 = 360

Q: Which of the following is the solution of the equation log1o(x) + log10(2) = 1

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Q: Solve the equation log(x +42) + log(x - 6) = 2. If there are two solutions, separate them by a…

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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: Solve log:(x? - 10) = log:(3x). A {2, 5} B {2} {5} D {2, -5} E {-2, 5}

A: Use the lograthim properties and solve the quadratic by factorisation.

Q: Solve. a) log2(x) + log2(x – 2) = 3 b) 4*+2 – 5 = 25

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Q: Solve equation: log:(3x – 1) = 3 Select one: O a. x -3 O b. x-3 O c. x-1/3 Od. x-10/3

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Q: If log10(2x - 4) = 1+ log10 4, then 'x' is equal to Answer:

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Q: 10.) Solve. Write the exact solution in terms of logarithms. el+2# = 4

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

Q: Solve equation: log3(2x – 1) = 2 Select one: O a. x= -4 b. x=4 O c. x=5 d. x= -5

A: log3(2x-1)=2logab=x then b=ax2x-1=322x-1=92x=9+12x=10x=102x=5. Option (c) is correct.

Q: Solve for the exact value of x. log2 (3æ) + 4 log2(4) = 2

A: Topic-logerthimic

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

Q: Solve the equation log(x2 + 1) = log(x - 2) + log(x + 3).

A: log(x2+1)=log(x-2)+log(x+3)

Q: Algebraically solve the following equation for x. log2(x + 2) = 2 − log2(x − 1)

A: To solve the below equation for x

Q: Solve the equation for x, if there is a solution. (If there is no solution, enter NO SOLUTION.)…

A: Given that

Q: Solve, giving your answer as exact values: a) log„ (7) = 3 b) log; (x + 1) + log; (x – 1) = 7

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Q: Express the solution to each equation as a logarithm. Then, find the approximate value of the…

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Q: log6 (x + 3) + log6(x + 4) = 1

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Q: 3. Solve each of the following log equations (give exact answers, not decimals). 4log, (3x+5) =12

A: This question is related to logrithm equation.

Q: Solve the equation. log (2x) = log 3 + log (x- 2) %3D {-3} O A. 5 O B. {6} C. {1} O D. {-6}

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Q: Which of these equations represents a solution to log, r = 2? 2x 8 8x 2

A: Given: log8x=2

Q: 2. Solve the following logarithmic equation or FULLY explain why it is not possible: log(-8)

A: Logarithm of a number is defined as a quantity representing the power to which a fixed number (the…

Q: Express the equation in exponential form. 1 (a) log4(2) = 2 (b) log5(0.04) = -2

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Q: 15. Solve the equation. Check for extraneous solutions. log,(4x+ 1) = log,(2x+ 7) !!

A: The equation is given by log54x+1 = log52x+7 To evaluate: The solution of the equation.

Q: Express the equation in exponential form. (a) log5(25) = 2 (b) log5(1) = o

A: Using logarithm properties,we get

Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO…

A: Given expression is log3(3x) - log3(2x - 3) = 2

Q: Solve the equation for x. a).  log3 (3x-2) = 2                                b).  42x-1 = 8x+3

A: a)given equation is log3(3x-2)=2we know that logn(x)=r can be written as nr=x32=(3x-2)9=3x-2∴x=113

Q: solve each logarithmic or exponential equation below for x.   -2ln(3x-4)= -12 x-ln(e) = -2x+1…

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Q: If log10 2 = 0.3010, then solve for the value of log10 80

A: Given If log10 2 = 0.3010, then solve for the value of log10 80

Q: Solve each equation of x. (a) In x = 8 (b) log2(25 - x) = 3

A: To solve for 'x' in,  ln x = 8 => loge x = 8 => x = e8  => x = 2,980.95799 Note : the value…

Q: log,(4x) – log, (2) = 3

A: Given :              log4(4x) - log4(2) = 3

Q: Solve: a. log,(x + 3) = 2 b. 3 In(2x) = 12. %3D

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Q: 10) Solve for x when 2 log x - log 100 = 2 a) 105 b) 10° c) 10' 10⁰

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Q: Solve 4- 4- = 16 log (x + 2y). дкду ду? dxdy 2.

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Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) −4 · 10p + 8 − 8 = −25 p =

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Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO…

A: Given equation log2(7x-9)=2 We have to find the value of x. Concept will use logab=c⇒ac=b

Q: 1 solve SO log 2 Ve* –

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Q: 7. What is the solution of each equation? a) log (4x – 5000) b) 3**3 = 27*-5 = 3 %3D -

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Q: + 7 - 2 =

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Q: What is the solution to this equation? log3(41) – 2log,# = 2 A. 36 1 O B. В. 36 С. 9 9 D. 4 Reset

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Q: 7. Solve each equation for y. [Leave final answers in a simplified exact form or an approximate…

A: Given, (a)  ln4y +5  = lny-1  (b) 5-3log4x-3 = -4 We have to solve the equations

Q: a. In(3x) = 2.1 b. logs (4x + 7) = 2 c. log 4 + log(x - 5) = log 16

A: Question is solved.

Q: Solve log(3x + 10) = 2 a) 30 8 b) 3 c) 110 d) -3.23

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Q: Solve the following logarithmic equation. Give the exact value for full credit. In (2x - 3) + 1 = 0

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Q: Use natural logarithms to solve the equation. Round to the nearest thousandth. 8. e 2x 1.4

A: Given : e2x = 1.4

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 equation 2log (2x)-log(x²+75).

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

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