14. Use the change of base formula to write 2 different expressions that are equivalent to log215.

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: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

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

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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: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

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

A:

Q: Express in terms of sums and differences of logarithms. 8 In 3xy 8 In 3 3x°y

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Q: 2) Match the logarithmic expressions to equivalent expressions and state the property or process to…

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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: asb b? =In 2. %3D (3

A:

Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

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

A: Use base switch rule.

Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

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

A:

Q: 15) Solve for x: log4 x = 4

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

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

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

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Q: Solve for r: log(z) + log(z + 4) = 5

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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: 1. Solve by using your calculator. log, (-3+2x)+log, (x +1) = log, 9² Round to nearest two decimal…

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Q: Which of the following expressions is equivalent to 6*? 6 In x 6x xIn 6 log 6X

A: Solution: We know that

Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: 4. I bought $10 worth of pokémon cards in 2000 and in 2022 I found out that they are now worth $180.…

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

A:

Q: 11. If Log(3) = 0.4771 and Log(2)=0.3010, compute Log(√3456) without using a calculator.

A: Given:-log(3)=0.4771log(2)=0.3010using properties of loglog mn=nlogmlogm·n=logm+logn

Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

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: (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: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

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Q: 7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

A:

Q: 9

A: We need to solve

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

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Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

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Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?

A: We use Logarithmic properties

Q: 1. Solve by using your calculator. log, (-3+2x)+log; (x+1) = log, 9² Round to nearest two decimal…

A:

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: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

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

A:

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

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Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: Expand and simplify: log4(xy^5/z^4)

A: To simplify the below logarithmic expression

Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

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

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Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

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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: 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…