Use the laws of logarithms to simplify the expression. ln (x2)/ x1/2(1+x)3

Q: Use the Laws of Logarithms to combine the expression. 3(log6(x) + 3 log6(y) - 5 log6(z))

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

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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 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. (a) log(- (月 (b) In (c) log 5/. X + 2 x³(x² +…

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Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma- log(x) +…

A: Given: logx+logx-4=log3x

Q: Use the Laws of Logarithms to combine the expression. 5 log(x) – log(x² + 1) + 4 log(x – 1)

A: Given expression   5 logx-13log1+x2+4 logx-1

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – log(x + 1) + 2 log(x – 1)

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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 combine the expression 3(log7(x) + 2 log7(y) – 4 log7(z)) -

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

A: Given : xlnx−4

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 Laws of Logarithms to combine the expression. 3 log(x) - log(x² + 1) + 5 log(x – 1)

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Q: use the laws of logarithms to expand the expression log_4(5xy)

A: Solution is given below:

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 6 log(x + 1)

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

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Q: Write the exponential equation X=10Y in logarithmic form. The equivalent logarithmic equation is

A: We have to find logarithmic form

Q: Use the laws of logarithms to expand and simplify the expression. log(x(x2 + 4)−1/2)

A: The given expression is;

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

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Q: Use the Laws of Logarithms to expand the expression. log √t5

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

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Q: Use the Laws of Logarithms to expand the expression. log2(xy)8

A: Solution - Let the given logarithmic function be y, then - y = log2xy8Using logarithmic property -…

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

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

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Q: Express the logarithmic function below, in a different logarithmic form, by using the laws of…

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Q: Given: log2 = -3. Write the logarithmic equation in exponential form.

A: Given : log218 = -3

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. ln (6/e7)

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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: Use the Laws of Logarithms to expand the expression. (a) log log() (b) In (c) log x + 2 x³(x² + 4) (

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

A: Given expression is  3log7x+2log7y-4log7z

Q: Use the laws of logarithms to expand and simplify the expression. ln(ex/1+ex)

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Q: Use the Laws of Logarithms to expand the expression. log5(xy)7

A: Given expression log_5(xy)^7 We have to expand the expression using the laws of logarithms.

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

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Q: Use the Laws of Logarithms to expand the expression. x2 + 5 log (x² + 8)(x³ – 3)2.

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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 combine the expression.

A: Given:            3 ln 2+2 ln x-12 lnx+4 Apply log rule: a logcb= logcba          3 ln 2=ln 232 ln…

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

A: Given : log7xy2

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 properties of natural logarithms to simplify the expression. eln(3)

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Q: Use the laws of logarithms to expand and simplify the expression. log( x(x2 + 7)-1/2)

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Q: Use the Laws of Logarithms to expand the expression. (a) log (xy5 (b) In x + 2 ,3v2 (c) log x3(x2 +…

A: values = ?

Q: Use the Laws of Logarithms to expand the expression. ln (r/2s)

A: Given: To Find: To use the Laws of Logarithms to expand the expression.

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…