write the expression as the logarithm of a single quantity  1/2 ln (x)+4ln(y)-5ln(z)

Q: Write the expression as a logarithm of a single quantity.                              1/3[2 ln(x +…

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

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

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Q: Condense the expression 5 ln(x − 2) − ln(x + 2) − 3 ln x to the logarithm of a single quantity.

A: Use the logarithmic property as follows:

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

A: eln 8 x5- ln 2 x2

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: x*dx + y C x-) dy =0

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Q: Write the expression as the logarithm of a single quantity. 1 3 (6 In(x + 5) + In(x) – In(x² – 6))

A: By using logarithm property, we calculate the given expression.

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

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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: Write the expression as a logarithm of a single quantity. + In(x + 5) – 3 In(1 + Vx) 2

A: Given expression is ln6+12lnx+5-3ln1+x We have to write given expression as a logarithm of a single…

Q: Condense the expression to the logarithm of a single quantity. [3 In(x + 5) + In(x) – In(x3 - 1)] 2

A: The given expression,        123 lnx+5+lnx-lnx3-1

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: Write the expression as the logarithm of a single quantity. In(4) + - In(x + 4) – 3 In(1 + Vx)

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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: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: Write the expression ln 7 - 3 ln x as a single logarithm.

A: Givenln 7-3 lnx

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

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Q: what will be the value of x for the given logarithmic equation 10ln(x2-10)+2=8?

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Q: Write the expression  3 ln x + 2 ln y − 4 ln z  as a logarithm of a single quantity.

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Q: Write the expression as a logarithm of a single quantity.                                          4…

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Q: Completely condense the expression to the logarithm of a single quantity. 7 ln(x)-ln(x+7)+5 ln(y)

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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: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

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

A: Given,            lnx2x1/21+x3

Q: Write the expression as one logarithm . SNIPP

A: Consider the given: 2lnx−4ln1y−3lnxyApply log rule:…

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: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: Express the quantity as a single logarithm.

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

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

Q: Find the Value of x in the Logarithmic Functions : log; (x2 + 16x +1) = 4 %3D

A: We will apply antilog on both sides to solve this equation

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

A: logax2yz3

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

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Q: Write the expression as the logarithm of a single quantity                                3[ln x − 2…

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Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

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

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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 quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

Q: Condense the logarithmic expression. 3 ln x-1/4 ln y

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e7x) − 3x − ln(1)

A: Given:

Q: Condense the expression to the logarithm of a single quantity. 1/2[4 ln(x + 7) + ln(x) − ln(x4 −…

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Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e8x) − 5x − ln(1)

A: Properties of natural logarithm.

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