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 4x 4x (x2 + 1) In 10

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: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

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

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Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

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Q: 6. Condense the logarithmic expression 2 lnx- In(x* +1).

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Q: If log2(7x+6)=1, then x=

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Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

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Q: 3

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Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given that, ln 2 = a and ln 3 = b.

Q: Use properties of logarithms to expand the logarithmic expressi +2 In (x+2) X VX+2 In %3D (x+2)3

A: using property of logarithmic

Q: log2(7x+2)=2, then x=

A: Given:- log2(7x+2)=2,  To find:- Value x

Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: 9. (x) = log(1-2x)

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Q: Express in terms of sums and differences of logarithms. 8 In 3xy 8 In 3 3x°y

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Q: .If log, [log3 (log2a)] = 1, then x is equal to = ?

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Q: Compute log3 without using a calculator, where log3(X) = 81 - 1.5

A: Using logarithmic Properties.

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: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log16 x…

A: Given logarithmic equation is: log16 x + log4 x + log2 x = 7 We have to solve for x.

Q: log, (x – 5) + log,(x + 3) = 1 In(5x) + In x = ln(100)

A: As per guideline we have to solve the one question

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: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

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: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: 3) In x-log x = 1. Answer should be in the natural exponential form. %3D

A: This is complicated and lengthy problem, so I can do it in Advanced Mathematics.

Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

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: Does the function f(x)- logarithm of x with the base of 4 approach a certain real number as the…

A: Consider the given function as fx=log4x.

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: Solve for x. (a) In (x – 3) = 7 (b) In (x + 4) + In (x - 4) = 1 (c) log gx² - log ,2x = 3

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Q: Evaluate log2(x²) dx In(2) -log2(x²) + C 4 In(2) log2(x²) + C n(2) (log.(r2))2 (log. (x2))2 1r 4…

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Q: In 2 log2x

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

Q: In 2 " log2 (x + 2) x + 2

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Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: How does the second to last step come about? How does "log(5^x/2) + log(5^1/2)" turn into "log (sq.…

A: Note: From seeing the previous explanation we observe that there is a typing error in the second…

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

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Q: Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3)…

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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: 2. Show that x– log (1 +x) < く 2 (1+x) ' ザ-1<x<0.

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Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: Expand loge x in powers of (x- 1) and hence evaluate log, 1-1 correct to 4 decimal places.

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Q: Write In(x2 - 3x + 2) - In(x - 1) as a single logarithm. In(x + 2) In(x + 1) In(x + 3) In(x - 2)…

A: We can find the answer as given below

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

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Q: Use values of f(x) = In(x) %3D to estimate log ( 6.67 ) using 4th order

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Q: Evaluate So ·∙log 1+ax 1-ax (: ( dx x√√1-x²

A: A very good problem. This problem illustrates the power of differentiating under the integral sign.…

Q: If log1,5 + log10 (5x + 1) = log10 (x+5)+1, then x is equal to :

A: Given data is : log105+log105x+1=log10x+5+1 To find the value of x . Use the property of logarithm :…