1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

Q: Suppose that loga 2 = .4307, loga 3 = .6826, and loga 10 = 1.4307, correct to 4 decimal places. Find…

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Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

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

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Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

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Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: Find if z = log2 y – 6 log5 y. dy dz dz In- dy y In 10 dy y ln 10 Option 1 Option 4 64 dz In- 64 dz…

A: We know, ddxlogax = 1x·ln a a·ln b = ln ba ln a - ln b = ln ab

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

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Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

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

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Q: The union of left ray topo log y and right ray top log y on real numbers is usual topo log y True…

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Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: 5. Find y' and y". f(x)= log,0 x Find y' if y=In(x²+y?) 6.

A: f(x) = log10x ∴ f'(x) = 1/x and f"(x) = -(1/x2)

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

A: Using log44 = 1

Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

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Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

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Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

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Q: One of the following is False: Select one: Log(z12) = Log(z11) + Log(z2). %3D dogz = z if z 0. %3D…

A: Given :- find the false statement.

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: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: write the logarithmic equations in exponential form.

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

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: 1. In 2x - 21n/2y³ + In(xy)² as a single logarithm.

A: since you have posted multiple question i can do first question as per pur company guidelines please…

Q: 4. What is b if (log, x)' :? Зх

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Q: 19. If log,2 = x and log34 =y, then log372, in terms of x and y, is equal to O 2x +2y O 9x +9y O 9xy…

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

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Q: -Given that p log, 5, q log, 2 express the following in terms of p and/or q. log, 0.625

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Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

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Q: 6) Given that x = log, b. write down an %3D expression for b in terms of a and x. log, t that log, t…

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Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

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Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

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Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: Evaluate y for the fx)= 4"-5 log,(x) 4*ln 4- Inx 4- x In 9 4- In 9 4'ln 4- x In 9

A: Answer

Q: in The solution of the equation Log(z² – 1) = 7 is %3D Select one: 1 in 1 157 - - 24e 4 and 24e 4 1…

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Q: 4. Express the following single logarithm: as a i) log3 54 -log3 6 ii) 2 In (5a’b) – In (125 aº b²)…

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Q: 2 log(x+y) = 3log3 +logx + logy

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: Differentiate y = 3e +7 ln(2x) + log, x- 4" O y' = 15e5 ++ 1 - 4* In 4 %3D - I In 2 O y' = 15e5-1 1…

A: We have to differentiate  y = 3e5x + 7 ln(2x) + log2x - 4x.

Q: 7. Find y'. y = log, (9– x-x)

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Q: 10 logat 1) y = -

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

Q: rewrite each expression as a singlelogarithm.

A: 35). Given expression is 3log2x+log2y To rewrite the expression as a single logarithm. Solution:…

Q: Find w if w = x10 + 10*. dx 10* 10x° + In 10 log10 e dw dw 10x° + 10* dx dx Option 2 Option 3 In 10…

A: Given  w=x10+10x To find : dwdx

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

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Q: 16 24 8 log. Z. to

A: Given logay16z24x58

Q: 7. If the equation 3(5)“ =k is solved for x in terms of k, the result is 1 k (1) x=-log, 3 3 = 2…

A: Solving this expression we have

Q: 2 log, 64|,B = |** 6 [x +3 = 4 В 10 -4] 4 [m LetA = 4 21 3. 2 -7 5 4 and D =, *,. Find X, if AB" +…

A: To find the value of X.