Expand the following: a) log 3x2/ y4 b) log5 x5 (square root of y)/ z3

Q: Differentiate log(x² + 1)². O (x2 + 1) ln 10 4x O 4x(x² + 1) ln 10 O 2x(x² + 1) ln 10 4(x2 + 1) In…

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Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

Q: 2. Use BabyStep-GiantStep to compute log;(12) in Zr.

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Q: Use the trapezoidal rule with five function values, together with appropriate log laws, to show that…

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Q: Express as a single logarithm. A) logbase5 6 + logbase5 8 - logbase5 12  B) 2 log 3 + 4 log 2  C)…

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Q: Find y' of y = log5(4x + 3)

A: Given that

Q: 3

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Q: Show that |Log(2)| < | In |2|| + T.

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Q: What is the zero o of the funcHon Y= loge (x+G)-I?

A: Given: The function, y=logxx+6-1.

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

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

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

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Q: Evaluate the expressio 1 log 6 6 1 log 6 6 %3D

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Q: asb b? =In 2. %3D (3

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Q: Express the following using a single log: 3Log ab2 -Log a2b - 4 Log a/b - 3Log b2

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Q: Expand the following expression as much as possible and compute any parts that can be done without a…

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Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9 + In(X2 -12x+36),  x>0

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Q: if 3loga + 5 laga - bloga=log64 %3D what is a?

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Q: Estimate the error in the value log 2.7 obtained from the following dată.

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Q: Find the largest value of æ that satisfies: log, (a) – log6(x + 2) = 2

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Q: Expand the following logarithm into the sum/difference of multiple logarithms in their simplest…

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Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9+ In(X2 -12x+36),  x>0

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Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4?

A: Given: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4? To Find: To check the…

Q: If log (x³ (x-2)) is expanded to Mlogx+ Mog(x-2, what 3 thhe sum of Mand N?

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Q: Solve for the value of x in log 2 (2x+12) = 5. %3D

A: If  logxy = z then,y = xz

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

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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: Differentiate log(x² + 1)². O 2x (x2 + 1) ln 10 O 4x(x² + 1) In 10 4(x2 + 1) In 10 O (x² + 1) ln 10…

A: see below the answer and calculation

Q: Prove that log 5436 is irrational.

A: Here is the complete solution for your query

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact…

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Q: Determine the approximate values af log3 (VI6,0L + V24.99 (Instruction d logax dx In a

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Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: (8) Expand the following into as many logarithms as possible, with what's inside each logarithm as…

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Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

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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: 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: The solution of the equation Log(z² – 1) = in is

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: Compute 3 In(e) +2 log(10) 7 11 1 9. 3. B8

A: Solve by properties of logarithm.

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

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Q: Show that, log(-1+i)² # 2log(-1+i).

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

Q: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

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

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Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

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Q: Solve: Log(base 4) (x)= 5/2

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Q: Prove that log3(25) is irrational.

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Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find