Which of the following is equivalent to 142 = X? O logx(14) = Z O log x(Z) = 14 O log14(Z) = X O logz(14) = X O logz(X) = 14 O log14(X) = Z

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: Evaluate value of the following log9 x log3 x

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

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Q: Write as a single term that does not contain a logarithm:

A: eln 8 x5- ln 2 x2

Q: 3

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Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

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Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- ♥ So we can complete…

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Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

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Q: use the properties of logarithms to expand log(z^5x)   log(z^5x)=

A: Answer: Solving the given integral by properties of logarithm as follows:

Q: Write the logarithm in expanded form. ху5 log8 z10

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Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

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Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: 101. Show that log,(x + V – 1) + log.(x - Vr - 1) = 0.

A: To show: loga(x+x2-1)+loga(x-x2-1)=0 Solution: loga(x+x2-1)+loga(x-x2-1)=0 Considering, Left Hand…

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

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Q: 8. Use the properties of logarithms to expand the following into a sum or difference of logarithms.…

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Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

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

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Q: If H(x) = logb 1/x, show that H(b-1/z)= 1/z

A: H(x)=logb1x, we have to show that Hb-1z=1z

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) -- log(x2 + 1) + 4 log(x – 1)

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Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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Q: Select the solution(s) of log x = 2 - log(5æ + 5).

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Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

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

A: Introduction :

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: Use log, 20.401, log, 30.565, and log, 50.842 to approximate the value of the given logarithm to 3…

A: Given,

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

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Q: Write the following expression as a single logarithm with coefficient 1: In (2z") – In(3z°) +…

A: Given- ln2x9-ln3x6+ln8x7 To Write- The above expression as a single logarithm with coefficient 1.…

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

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

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Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

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Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

Q: if m=log10 n, what other relationship exists between m, 10, and n?

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Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

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Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

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Q: Use the power rule to expand the logarithmic expression: ln 3√x

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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: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

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

A: Introduction :

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Expand the logarithmic expressions 1. log(10 000x) 2. logb √x3 √ y / z

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Q: Use the interpolation method to find log10 1044 from the following data: x = 1000 (10) 1050, y =…

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

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