Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.) In((xy)")

Q: Use the properties of logarithms to expand the logarithmic expression. ln(x√x2 + 5)

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Q: Use the quotient rule to expand the logarithmic expression: ln (e5/11).

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Q: Use the Laws of Logarithms to expand the expression. log(V +y)

A: Recall:(Laws of Logarithm) logam+logan=logamn logam-logan=logamn logamn=nlogam

Q: Write as a single term that does not contain a logarithm:

A: eln 8 x5- ln 2 x2

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: Use the Laws of Logarithms to expand the expression. log, (xy):0

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Q: Write the expression as a logarithm of a single quantity.

A: To write: The expression gx=2ln x-ln 4 as a logarithm of single quantity. Given: The expression…

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 rewrite the expression as the logarithm of a single quantity.…

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Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Write the expression as a logarithm of a single quantity. 1 In(x + 2) – 2 In(1 + Vx) 2 In(3) +

A: We have to write the given expression as a logarithm of a single quantity   The given expression…

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: The given logarthim expression,  ln xyz3

Q: Write log, x + log, y as a single logarithm with coefficient 1.

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Q: Use the properties of logarithms to expand the expression as a sum, difference, or a constant…

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Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

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Q: Use the properties of logarithms to expand the logarithmic expression, ln x/4

A: Given  logarithmic expression is lnx4.

Q: ession 1/2log x

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Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

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Q: Use the Lavs of Logarithms to expand the expression. log;(xV)

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Q: Use the properties of logarithms to write the expressions in as a single term

A: We have to simplify the given expressions 3lnt2-13-lnt+1 using properties of logarithm. Properties…

Q: Use the properties of logarithms to expand the logarithmic expression     ln[(x2 + 1)(x − 1)]

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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: Use the Laws of Logarithms to combine the expression. 4 log(x) -- log(x2 + 1) + 4 log(x – 1)

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Q: Write the expression as a logarithm of a single quantity.                               2[ln x −…

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Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

A: Log(m)+ log(n)=log(mn) Log(m)-log(n)=log(m/n)

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

A: log32xy

Q: In the given question , use the properties of logarithms to expand the logarithmic expression.   ln…

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Q: Condense the expression to the logarithm of a single quantity. (Assume all variables are positive.)…

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Q: Use the Laws of Logarithms to expand the quantity.          ____In  √ab

A: We have to expand ln ab

Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

A: Properties of logarithm: ln(A)+ln(B) = ln(AB) ln(A)-ln(B) = ln(A/B) n[ln(A)] = ln(An)

Q: Use the Laws of Logarithms to expand the expression: log(x +y*

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Q: Use properties of logarithms to expand as much as possible.  log√[(x5)/(y3z)]

A: Given, logx5y3z We will solve it by using the properties of the logarithm

Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

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

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Q: Use properties of logarithms to expand the logarithmic expression logb(x3y/z2) as much as possible.…

A: Consider the following:Product Rule:logxy=logx+logyQuotient Rule:logxy=logx−logyLog of…

Q: Solve the logarithmic equation for x.

A: a.)Given equation - log(2x) = 4log10(2x) = 4            log is log10 with base 10, ln is lne with…

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

A: Givenlnx2y3z4

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

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

A: The solution of the second problem is given in the next step.

Q: Use the properties of logarithms to expand the logarithmic expression.      ln(xyz)

A: Given: ln xyz To expand: The given logarithmic function.

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: Use the Laws of Logarithms to expand the expression. log, (xy)?

A: Given : log7xy2

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

A: we have to write in single term of given expression

Q: Use the properties of logarithms to expand the logarithmic expression.              ln z(z − 1)2

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Q: Use inverse properties of logarithms to simplify the expression ln e6x.

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

A: Simplify

Q: Change the logarithmic statement to an equivalent statement involving an exponent. ln 4 = x

A: Since, we have to change the logarithmic statement ln 4=x into an equivalent statement involving an…