7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

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Q: 9. 8 logx 4. -2 - 3.

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Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

A:

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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

A: We have to find x

Q: Since the data obtained as a result of 5 observations of an experiment is ∑ log Xi = 6.27, what is…

A: n = 5 ∑ log Xi = 6.27 We have to find the geometric mean.

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: Solve the equation for x: log20 x + log20 (x – 1) = 1. -

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Q: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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Q: Choose the exponential form of the logarithmic equation log3 (7x + 6) = 3. %3| O 33 = (7x + 6)° O…

A: Option c is correct.

Q: 15. Solve log5(5 – 3x) – 2log;(7 + x) = 1

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Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

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Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

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

A: According to the properties of logarithm, we have the following: log(A·B)=log(A)+log(B)       and…

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

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Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

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Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

Q: 11. If Log(3) = 0.4771 and Log(2)=0.3010, compute Log(√3456) without using a calculator.

A: Given:-log(3)=0.4771log(2)=0.3010using properties of loglog mn=nlogmlogm·n=logm+logn

Q: #12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: In (x + 4) + x = 5 log log (x + 1) +3

A:

Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

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Q: Solve for x: given log(17x – 3) – log æ = 1 -

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Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: 4. Find the solution set of log3 (2x +6) + log3 (2x-2) = 2. |

A:

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: 17. Solve log3 (5z +1) > log;(3z +1)

A:

Q: 1. Solve by using your calculator. log, (-3+2x)+log; (x+1) = log, 9² Round to nearest two decimal…

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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: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: What is the law of exponential change? How can it be derived from an initial value problem? What are…

A: To define the law of exponential change and derive it from initial value problem.

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

Q: 10. y = log2(sin x)

A: We have to find derivative. o differentiate given question.

Q: .show that log3n x = log3 x.Hence solve the equation log31 x + log3 x + log3 x = 13 n

A: We solve the given problem.

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…