Expand the following expression using the quotient rule for logarithms. 5c² + 30c` log бс + 36 The answer format in lowercase characters is: log(number) Spaces in the answer are optional.

Q: 10

A: Given logarithm expression is

Q: Use the Laws of Logarithms to expand the expression. log(×-) (x7y2'

A: Property of logarithms: 1. logmn = log(m) - log(n)2.  logmn = log(m) + log(n)3. logmn  = n log(m)

Q: Expand the logarithmic expression. 7x In

A: To expand the below logarithmic expression. ln7x5y3

Q: Expand the following expression using the properties of the logarithms. Assume x and y are positive.…

A: Consider x,y>0 . Properties of logarithm:  Product rule : ln xy=ln x+ln y Quotient rule :…

Q: Assume that x, y, and a are positive numbers. Use the properties of logarithim to write the…

A: Assume that x, y, and a are positive numbers. By using the properties of logarithim to write the…

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

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Q: Expand the following logarithm so that it contains no products, quotients, or powers. e2x+3 a. In…

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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…

A:

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

A: Use division property of logarithm

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

A:

Q: Expand the given logarithm and simplify. Assume when necessary that all quantities represent…

A: The logarithmic expression is

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

A:

Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

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

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Q: condense the expression to a single logarithm with a leading coefficient of 1 using the properties…

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Q: Expand the following as much as possible using the properties of logarithms. Express exponents and…

A: Solve the following

Q: Which of the following is equivalent to 5(loga+logb)– 2logc- O A logy abc? Vab log- В. OD. ab?

A: 1A.44

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

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Q: Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

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Q: Write the following as a single logarithm. Assume all variables are positive. 7 log, (y) + 2 log,(2)…

A:

Q: Expand the given logarithm and simplify. Assume when necessary that all quantities represent…

A: Consider the expression,

Q: Use the Laws of Logarithms to expand the expression. log z2

A:

Q: Evaluate the expression without using a calculator. logzv3 O3 O1 1

A:

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

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

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

A: The objective is to find the correct option.

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

A:

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A: We know that,ln(m)+ln(n)=ln(mn)ln(m)-ln(n)=ln(mn)ln(mn)=nln(m)Here…

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: Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

A:

Q: Expand the logarithimic expression.

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

Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

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

A: Consider the given logarithmic expression logx4 y9z4

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

A:

Q: Use the quotient rule to expand the logarithmic expression: ln (e3/7)

A:

Q: 1. Use the properties of the natural logarithms to simplify the following expressions: b) In(3x² –…

A: ln3x2-9x+ln13x

Q: Use the properties of logarithms to write the expressions in as a single term. ln (8x + 4) - 2 ln c

A: Logarithm: We know  ln m- ln n=ln mnln mn=n ln m

Q: For Exercise, use logb 2 = 0.289, logb 3 - 0.458, and logb 5 z 0.671 to approximate the value of the…

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

A: The given logarithm expression can be expanded using following properties of logarithms. The…

Q: Use the properties of logarithms to condense th logarithmic expression 5log2(x + 6) – 4log2y

A:

Q: Use the properties of natural logarithms to simplify the expression. In(eln(e))

A: Simplify

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: Write the following as a single logarithm. Assume all variables are positive. log3(7) + 3 log3(y)…

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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…

Q: 4. The expression loga is equivalent to 5 O 3log.y +log, -log,5 O 3logay +2logax – loga5 | Olog (3y)…

A: