10. Solve. 4 – log2(x) = log2(x - 6) 10. Write the restrictions on the domain. Show your computations. Simplify your answer if you can.

Q: 15. Solve for x: log3 x + log3 (x + 6) = 3

A: To find: The value of x. Given: The equation is log3x+log3x+6=3. Formula used: Product rule of…

Q: True or False The graph of f1x2 = loga x, where a 7 0and a ≠ 1, has an x-intercept equal to 1 and…

A: Answer: True.

Q: dy Sohe: loge %3D

A:

Q: 3. Solve. Show steps. 2 log x' - 5log x = 3

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Q: solve the Fo llo wing 3) log,el- 2 logs 3 ↑) logiz 12- 2 log 2 2 5) .lo9221 - logz 7

A: This question is based on Logarithmic properties.

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

A: Solve as follows.

Q: solve for the unknown. log3 y + 3 log3(y2) = 14

A: We have to solve the equation: log3y+3 log3y2=14 We know the properties of logarithm, m…

Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: True or false: -3 is a solution of log; 9 = 2 logs x..

A: A solution of a logarithmic equation is a value for which both sides of the logarithmic expression…

Q: - Find the solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

A:

Q: 4. Use the special properties of logarithms to solve the following equations. [K4] a. M = log₁11²¹…

A:

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

Q: 15) Solve for x: log4 x = 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. Solve the following using logarithms. a) log x + log(x - 1) = log 2 b) log 40 - log10 = logx

A:

Q: An exponential function in the form y = 2401(b)* contains the point (4, 1). What is the value of b?

A:

Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

A:

Q: (a) Solve 3* ≥ 27 using logarithms.

A: We have to solve  3x ≥ 27  Using logarithms

Q: Simplify the expression log(2x – 2) – log(x² – 1). State the restrictions on x. - -

A:

Q: 6. If log y-2 and xy-27, find the values of x and y.

A: Given query is to find the value of x and y.

Q: 5. Find the solution set of (log3 (x+1)]2 +log3 (x+1)2 = log2 256. ||

A:

Q: 2. Solve for x. (Just type the value.) log (25x + 500) = 3 %3D

A: By simply take exponential on both sides we can solve the given problem

Q: 3. Solve using logarithms: 256 = 4+1)

A:

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

A:

Q: Solve 2log (x+ 1) =log (x) + log (x+3). Don't forget to check for extraneous solutions.

A:

Q: 25. Solve for x if log 3x = -2. A. 1 9. B. -9 С. 1 D. -6

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Q: 8) Solve for x when log10¹ = x a) log 8 100,000,000 b) log 10 c) 8 d)

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Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: d) logr hint: use 2" inequality logx 0 n=1

A:

Q: 9. Solve the following equations. Show your work. a) p= log, 1024 b) 6- log, 64

A:

Q: 9 log, x = 2 4

A:

Q: -5- log6(n) + 12 = 7

A:

Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.

Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: Q5: Evalate: 1- Demain of + loga(x - x) 2- Ranga inx 3- Sol GOOD LUCK

A:

Q: Discuss how you would state the restrictions of the following function, solve the restrictions, and…

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: Solve for the unknown. log3 y + 3 log3(y2) = 14

A:

Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

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Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

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Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: =477 Solve for x in terms of the natural log 3e2

A: We have to solve the given expression in terms of natural log. Given Expression is, 3e2x = 477

Q: solve the following equation 2log4(2x)=log4(x^2+75)

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Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: 6. Y = log2(4x5 – 7)

A:

Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

Q: 8log2(t – 5) = 32 log2(t – 5) = t = !

A: