Condense 4log x -[3x log 2- 4 log(x + 2)] 4.

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: Solve for x. 0=log (base 5)x

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

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Q: Solve for x: log 2 (x + 3) = 4 - log 2 (x - 3)

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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: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

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

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Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: Differentiate f (x) = log6 (x26"

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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: Q5: Evaluate : 1- Domain of: 4-x2 + log10 (x – x)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

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

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Q: Differentiate. y= log(5x + 1) 6 (6x+1)In(5) 5 (5x+1)In(6) 6 (5x+1)In(6) o loge(5x+1)

A: Solve the problem

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 as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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: 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: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

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: 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: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: Solve for all valid x: 2log(x) = 1+ log(x+ 1) Attach File

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Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: | What is a zero of f(x) log (2x -3)?

A: Put f(x)=0 and solve for x .

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

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Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

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Q: Solve for x. log 3 = log (x+ 5) – log 12

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Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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

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Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: Solve for x: log(x) + log(x + 4) = 3

A: By using logarithm property and using quadratic formula, we calculate the value of 'x'.

Q: direct

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Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

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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: 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: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

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: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

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

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Q: Solve for x 5 log(x + 4) = 10

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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: Express

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Q: Differentiate. 10) y = 7X 11) y = 14-X 12) y = log4(2x)

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