Use the Laws of Logarithms to expand the expression. log() (601 (e) 24 (b) In x + 2 (c) log x3(x2 + 4) |지>

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

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

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Q: Find the value of x in the equation 2 log3 x − log3 (x + 2) = 0

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Q: Use properties of logarithms to expand the li In 12

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

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

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Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

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Q: Use the properties of logarithms to expand the logarithmic expression.                 ln√x5

A: To expand the given logarithmic expression by using properties of the logarithms.

Q: Use the Laws of Logarithms to expand the expression. log3(5x)

A: One  of the properties of logarithms, logb(mn)=logb m+logb n

Q: Use the Laws of Logarithms to expand the expression. log2 2xy

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Q: The domain of the logarithmic function f1x2 = loga xis ________.

A: To find the domain of :f(x)=loga(x) Solution: The logarithmic function is defined as follows:…

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

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

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

A: Given : xlnx−4

Q: (b) log(- yz-4

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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: Solve the logarithmic equation for x. log2(x2 - x - 2) = 2

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Q: Use common logarithms to solve for x in terms of y

A: Let take 10x=t then 10-x=t-1. Now, replace 10x with t in y=10x+10-x2 and solve it.…

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

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: 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 expand the expression. .5 log2

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

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Q: b). Condense the expression into the log of a single quantity: 3logx + 2logy - logz Ans.

A: Given, The expression 3log x + 2log y -12log z.

Q: Use the Laws of Logarithms to evaluate the expression. -- log;(16)

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Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Logarithm rules

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 properties of logarithms to expand the expression: ln((x)/(x^(2)-9))

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Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

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

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

A: We have to Answer only Question (2) as stated. We know that,

Q: Use the Laws of Logarithms to expand the expression. log2 (AB2)

A: Given expression is log2 (AB2)

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: Use the Laws of Logarithms to expand the expression Зx9 log3

A: The given logarithmic expression is,

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 properties of logarithms to expand the logarithmic expression logb(x2y/z2) as much as possible.…

A: Given :           logbx2yz2

Q: Use the Laws of Logarithms to expand the expression. 5. 3x log,

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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 common logarithms to solve for x in terms of y

A: Given equation is: y=10x-10-x10x+10-x We have to solve for x in terms of y using common logarithm.

Q: Use properties of logarithms to expand the logarithmic expression logb(√xy3/z3) as much as possible.…

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Q: Use the properties of logarithms to express the following as sum and difference. In

A: The given expression is

Q: Use the quotient rule to expand the logarithmic expression: log7(19/x)

A: Given logarithmic expression is log719x. Quotient  rule of logarithm states that: logmn=logm-logn…

Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

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