3. Use the properties of logarithms to rewrite each expression as a sum, difference, or constant multiple of logarithms. Replace all radicals with exponents. b. n V10x а. In 2у-5

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: 10

A: Given logarithm expression is

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

A:

Q: 1. Evaluate using inverse property of logarithms a) log,34 b) 5log5 10 c) log,4" d) 2l092 (x+2)

A: Explanation of the answer is as follows

Q: Expand the logarithmic expression. 14. In 2x

A:

Q: Use the properties of logarithms to expand the given expression as much as possible

A: Use division property of logarithm

Q: Write the expression as the logarithm of a single quantity. 1 3 (6 In(x + 5) + In(x) – In(x² – 6))

A: By using logarithm property, we calculate the given expression.

Q: Rewrite as a single log. ln((?^3 ?)/(?^4))

A: Let us replace ? with x for the ease of simplification- ln?3?4=lnx3x4 Using formula- lnab=lna-lnb…

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

A: logarithm In 8 Suppose that In 2=a and In 3=b write logarithm in terms of a and b by using the…

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: log V48

A:

Q: Express as a sum of logarithms. log 9(18• 12)

A:

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

A: Given :  In 2=a andIn3=b.  we have to use the properties of logarithm to write the  given problem in…

Q: Write the expression as the logarithm of a single quantity. In(4) + - In(x + 4) – 3 In(1 + Vx)

A:

Q: Suppose that In 2 = a and In 5 =b. Use properties of logarithms to write each  logarithm in terms of…

A: Given- ln2=a and ln5=b To find- The expression in the terms of a and b. Formula used- lnm·n=lnm-lnn…

Q: The homework problem says to express as a single logarithm and, if possible, simplify, which i dont…

A:

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

A: Given: ln2=aln3=b

Q: 1. Express Inxy2 as a sum, difference or multiple of logarithms.

A: To Express: a. lnxy2 as a sum, difference or multiple of logarithmb. log56 as a quotient of…

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

A:

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 8)]

A:

Q: Write expression log(x7y17/z19) as a sum or difference of logarithms with no exponents. Simplify…

A:

Q: 13 Use the properties of logarithms to rewrite the expression and simplify if possible. 81y In (x+6)

A:

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

A: We will solve the problem

Q: 1. Write each expression as a single natural logarithm: a) In ln 7 + 2 ln In 5 b) x – 2 In In 2x c)…

A: (a) Given logarithm is : lnln7+2lnln5 Use the property of logarithm ,…

Q: 8. Write as a single logarithm with and simplify if possible a. log, 5+log,4– log, 20 b) In50–In5

A:

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: 8. Write as a sum or difference of logarithms. Simplify if possible. cª d³ -log

A: Logarithm: It is a quantity which is used to express the power to which a fixed number must be…

Q: Write the expression as the logarithm of a single quantity. (6 In(x + 7) + In(x) – In(x? – 3) 3

A:

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

A:

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Written as a single logarithm, 3log,5 +log,6 – 2log,10 –log 25 is 6. O loga 25 3 O loga O loga 10 37…

A:

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

A:

Q: Write the expression 4lnx- In(y+3) as a single logarithm. Select one: In Vy+3 x4 In Wy+3 4x 3y+6

A:

Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

A:

Q: Condense the expression to the logarithm of a single quantity. 2 In (5) - 8 In(z - 6)

A:

Q: Answer 18. 2 -In z+ 2 In y – 3 In z

A:

Q: 5. Condense the logarithmic expression logx-logy+logz.

A:

Q: Write the expression 4lnx-In(y+3) as a single logarithm. 2 Select one: Vy+3 In - In /y+3 4x Зу+6

A:

Q: 4. Use the properties of logarith ms to rewrite each expression as the logarithm of a single…

A: We know that,

Q: 3. Write the following as a single logarithm. 2 log, 9+3log, 2 log, (2x) + 3 log, (x) log, (x)–log,…

A:

Q: 1 log,(x-1)-log,(x-4) = 2log, 232

A:

Q: 1 Rewrite each equation in exp 1) log 121 = 2 3) log, 49 = 2 Rewrite each equation in logarithm 5)81…

A:

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

A:

Q: Write the expression as a single logarithm. 1 log3 z+7log3y 3 log; x- 5

A:

Q: Write as a single logarithm: 1 In(x - 1) + 2 In(3r + 1) + In (r? + 9) - 2 ln 3- In z 2 3 In 2 -

A:

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

A: Rewrite log x12 as a single logarthim

Q: Write the expression as the logarithm of a single quantity. (5 In(x + 4) + In(x) – In(x? – 2)

A: we have to write the given expression in a single quantity