In 2 log2x

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: Use the Laws of Logarithms to expand the expression. log(×-) (x7y2'

A: Property of logarithms: 1. logmn = log(m) - log(n)2.  logmn = log(m) + log(n)3. logmn  = n log(m)

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. Solve log, x + log2(x – 3) = 2

A: Given:  log2x+log2x-3=2We know that      logmA+logmB=logmA×BThen   log2x+log2x-3=2…

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

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

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Q: b. Write log32187=x in exponential form

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Q: 7x +2+3x° log x +3x + 2x° log x + 2x'+ 6x 3

A: This is a problem of algorithm, complexity, function and run time.

Q: 6) Solve: Log (xLog X) = 9

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Q: Compute logb2 (b4).

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Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

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Q: Solve : log, (7 + x) = 2 log, 2 O x= 12 x = -3 O x = 13 O x = 3 O x = 11

A: Given Solve : log₂ (7+ x) = 2log₂2

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 Then, we have to write In 8 in terms of "a" and "b". Since the…

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

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

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Q: a. Show that the equation for converting base 10 logarithms to base 2 logarithms is In 10 log 10-x.…

A: solution:  log2x=In 10In 2log10x     logax=In xIn a  ...................equation 1 from 1 equation…

Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

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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-  ln27 To Use- Properties of logarithms to write each logarithm in terms of a and b, by…

Q: What is b if (logb x)' = -1/3x

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Q: PROVE that log5 100 = 2(1 + log5 2)

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Q: Solve log9 x + 3 log3 x = 14

A: To solve: The equation log9x+3log3x=14. Concept used: Change of base formula: logab=logcblogca…

Q: what is b if (logbx)= 1/3x

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Q: Without using log.[log 3(log, 8)]. a calculator, find the exact value of

A: Without using a calculator, find the exact value of log4log3log2 8

Q: 1/2log(4x+5)=logx

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Q: Rewrite In x' as a single logarithm with no exponents.

A: We will solve the problem

Q: Expand log3 (30x(3x+4)).

A: Solution-

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: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: Solve. 5) log4 (9x - 7) = 1 5)

A: logb (x)=y exactly if  by =x and x&gt;0  b &gt;0

Q: Solve: a. log,(x + 3) = 2 b. 3 In(2x) = 12. %3D

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Q: Solve log16 x + log4 x + log2 x = 7

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

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Q: Compute logb2(b4).

A: The given expression is logb2b4

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: log, (5)+ log, (5x+1)=2log,(x+1)

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Q: 5log(8)-1 log(x)

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

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Q: 1. Find x if log,8x

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Q: Use the Laws of Logarithms to expand log2 7t². in

A: To expand using laws of logarithms

Q: Express 273 = 3 in logarithmic form. log27 3 = 3 O log, 27 = 3 O log: 3 = 27 O log3 3 = 27

A: In this question we have to find the logarithmic form of the equation given by using the logarithmic…

Q: Expand 10. log4 7x2

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Q: Write - Inz+In y-In x + In 2 as a single logarithm with coefficient 1.

A: Recall: (Logarithm Properties) lnmn=n ln(m) lnmn=ln(m)-ln(n) lnmn= ln(m)+ln(n)

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

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Q: 1: Solve: log, (4x+11)=2

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Q: 1 Rewrite log x 2 as a single logarithm with no exponents.

A: Rewrite log x12 as a single logarthim

Q: Find the largest value of xx that satisfies: log5(x^2)−log5(x+3)=9 x=

A: For the solution follow the next step.

Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

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Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.

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