Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as possible. 31) 31) log, 112- log,7

Q: Express the given exponential equation to logarithmic equation 23=8 Choices

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Q: (ii) log,(x+3)=1–log,(x-1)

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

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Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: 120 FIK)T log, =x, express log in terms of x

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Q: Let u = In a and v = In b. Write the expression in terms of u and v without using the logarithm…

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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: Use the properties of logarithms to write the expression as a single logarithm. In(x) – In(y)

A:

Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

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

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Q: 1 3 log, 10 + log, 4 2 Write single logarithm. as a

A: given that                                3log510+12log54 we have to convert it in single logarithm.…

Q: practice question 16

A: Given,

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

A: Use base switch rule.

Q: Express th equation in exponential form.

A: (a) Given equation log515=-1 Use the basic rules for logarithms, if logbc=k, then solution of this…

Q: 3. Explain in a complete sentence why logą 20 is between 2 and 3.

A:

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

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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: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: Express th equation in exponential form.

A: Part (a) - log381 = 481 = 34                                If logba = c, then a = bcHence,34 = 81

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

A: The above question is ansered bellow

Q: State two applications of logarithms.

A: To state two applications of logarithms.

Q: 48. Determine the exact value of log, 4.

A:

Q: 3. Identify the expression that is equivalent to the given logarithmic expression. 35 log,- 59 [A]…

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Q: 5.2 logarithmic en(4t+1Det

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Q: Given the function Ax) = logx determine the value of af'(23)- O 1023 23 2.3 230

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Q: Rewrite the expression 5 log æ – 5 log (x? + 1) + 2 log(x – 1) - - as a single logarithm log A. Then…

A:

Q: 4. When the expression log, 6-[log, 2+log, 4], b>1, is written in the form log, a, the value of a,…

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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: |3| Another way of writing 6 = log, 8is

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Q: Solve: log, (s) = 6 .

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Q: Solve the logarithmic equation: 2log4x = log49

A: Calculation:Solve the given logarithmic equation as follows.

Q: Use the Change of Base Formula to evaluate log12 27.

A: log1227

Q: Calculate: 4 log,5 logg27

A: Given: To Find: The exact value of the given expression

Q: Use the Laws of Logarithms to expand the expression. ,9 log z4

A: Consider the given logarithmic expression logx4 y9z4

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

A: We use Logarithmic properties

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

A:

Q: 3. Write as a single logarithm. 4 logx- log Vx + logVx?

A: To write in single logarithmic of following (1/2)[4logx - log√(x5)] +log∛(x2)

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: Answer 18. 2 -In z+ 2 In y – 3 In z

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

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Q: What is the logarithmic form of the equation? = 14 Enter your answer by filling in the boxes. log…

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Q: Find the exact value of each logarithm without using a calculator. Show and explain your work. 7.…

A: Given the logrithmic expressions

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

A:

Q: What is the value of log, 8? Enter your answer in the box. log2 8 %3D

A: Find: log28 = ?

Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: log, n - Glog, m – log, n) as a single logarithm. 4 1. Express- log, m + logx n) as a single…

A: We have to convert the following into a simple logarithm form -  34logxm + 23logxn - 12logxm -…

Q: 4. 3. Use the Laws of Logarithms to combine the expression.

A: Given, 14logx+24+13logx6-logx2-x-63

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.