Use the properties of logarithms to expand log (x z). Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.

Q: Determine whether the statement, logb(x3 + y3) = 3 logb x + 3 logb y is true or false. If the…

A: From the right side of the expression we get

Q: Use the properties of logarithms to expand the logarithmic expression.

A: Given logarithmic expression is: lnxx2+5 We have to expand the above expression.

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 (VxV¥ xV y°Vz5

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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: Use the product rule to expand the logarithmic expression: log (100x)

A: Product rule in logarithm:  log (AB) = log(A) + log(B)

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: Use the Product Rule of Logarithms to write the completely expanded expression equivalent to…

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Q: Use the product rule to expand the logarithmic expression: log (10x)

A: Given: log (10 x)   To expand: log (10 x) using product rule.

Q: Use the power rule to expand the logarithmic expression: log(x + 4)2.

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Q: Use the Laws of Logarithms to combine the expression 3(log7(x) + 2 log7(y) – 4 log7(z)) -

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Q: Use the change-of-base formula to rewrite the expression log; 2 in terms of the natural logarithm In…

A: I have appended the formula used in the solution part.

Q: Use the Laws of Logarithms to expand the expression. log2 (xy)10

A: Our Aim is to expand the expression given below:-log2 (xy)10 -(i)

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

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Q: Use the defination of the logarithmic function to find x.

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

Q: Write the expression as a logarithm of a single expression. log vx + log x- log x

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Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

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

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Q: Use the Laws of Logarithms to expand the expression. 6 log 6x

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Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

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

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Q: Use logarithmic properties to expand the expression as much as possible:  log5(√x/25y3).

A: The given expression is log5x25y3

Q: Use the Laws of Logarithms to expand the expression. log: 6t

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Q: Use the laws of logarithms to combine the expression: 2 (log, x + 2 log, y – 3 log, z)

A: To use the laws of logarithms to combine the expression

Q: Use the properties of logarithms to write the expression as a single logarithm. log(2x + 1) log(x +…

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

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

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

A: We have to expand ln ab

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

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Q: Use the power rule to expand the logarithmic expression: log (4x)5.

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Q: Use the Laws of Logarithms to expand the expression. log6(xvy)

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Q: log, (x + 1) = -1

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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 Laws of Logarithms to combine the expression.

A: To combine the expression following properties of logarithm will be used. The sum property is…

Q: Write the logarithm in expanded form. log3((x®y)®)

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

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

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Q: Use the power rule to expand the logarithmic expression: ln √x

A: Given: lnx

Q: Use properties of logarithms to expand each logarithmic expression as much as possible. log, (yx)…

A: Given : logb(y2x)

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.

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

Q: Use the Law of Logarithms to combine the expression: 3(log, (x)+3 log,(y)– 4 log,(z))

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Q: Use the Laws of Logarithms to expand the expression. log3 (x√y)

A: Let the given expression be z - z = log3xyz = log3x+log3y…

Q: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4)

A: Use logarithmic properties to expand the expression as much as possible:  log6(3√x / 36y4) .

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

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

Q: Use the Laws of Logarithms to expand the expression. 3x7 log3 y

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Q: Use logarithmic properties to expand the expression as much as possible: logb(x2 √y)

A: Given logarithmic expression is logbx2y

Q: Write the expression as a single logarithm with a coefficient of 1. ln x − (8 ln y + ln z)

A: The given expression is ln x − (8 ln y + ln z)   log rule used:…

Q: Expand the logarithimic expression.

A: log4x3y2x-15