4. Use the properties of logarith ms to rewrite each expression as the logarithm of a single expression. Be sure to use positive exponents and avoid radicals 2 In 4x33 n y n z6 In(x2 16) - In(x 4) b. а.

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: 16. Use properties of logarithms to expand log (²₁¹). t14

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Q: 15) Use the properties of logarithms to rewrite each 2 a. In c. In 5y b. In Vr+2 d. In ¤(x +1)´

A: Explanation and solutions is given below....

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

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Q: 3

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Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

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Q: D. Logarithmic on both sides. In(3x+8) = In(2x + 2) + In(x – 2) %3D 7.

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Q: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

Q: 8. If logax = loga6, then x = M 9. logaN In 8 10. True or False. = 2. In 4

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Q: 4. Find x if the base 3 log of (2x+3) is equal to 4. 30.5 81 O39

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Q: B. Find the sum of the solutions to the logarithmic equation 2log 102-3 log r+2(log :)2 where log r…

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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: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without…

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

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

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Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

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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: Which of these are equivalent to log 1? yz?

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Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: 2. The expression log(3 + x) is undefined for what values of x?

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Q: 2. Write as a single logarithm with coefficient 1. Simplify as much as possible. Assume the…

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Q: Write as a single logarithm. Express coefficients as powers inside the logarithm. 6 In(x) + 3 ln(y)…

A: Here we need to write the given expression  6ln(x)+3ln(y)-7ln(z)-5ln(w) as single expression.

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: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: express the following as a single logarithm ln x+ a ln y - b ln z

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Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

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: Evaluate loge 7 by Simpson's (i) rd, and (ii) th rules.

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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: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

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Q: 7) use the properties of logarithms to: a, expand the expression log(x3z y2)

A: Consider the given expression log(x3z y2)

Q: . Use the Laws of Logarithms to expand the expression.

A: We have to use the laws of logarithms to expand the expressions: a logxy3z2      b lnxy     c…

Q: 9) Write as a sum or difference of logarithms, express powers as factors: In 2 x(x² + 1)² V3x=T

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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: Express the quantity as a single logarithm.   In 5 + 5  In 3

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

A: Follow the steps.

Q: If log2(3r + 5) = 5, then z =

A: We have to find the value of x log2(3x + 5) = 5 . So , By logarithmic properties. loga(b) = C Means…

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: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: Suppose that In 4 =s and In 3=t. Use properties of logarithms to write the logarithm in terms of s…

A: Please see the next step for answer.

Q: 6. Expand In a*b² as a sum, difference; and/or constant multiple of logarithms.

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Q: Suppose that In 3= a and In 7= b. Use properties of logarithms to write the logarithm in terms of a…

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Q: 1. Use the definition of natural logarithm to rewrite Inx= 4.6052 in exponential form, and evaluate…

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: Express in logarithmic form. 8 64 4. Express the following in expanded form. UV logB W. 3.

A: Dear student, You have posted many questions, in our policy we are providing to you first two…