Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log5(3x+6y).

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: solve for x (use log where is necessary ) 4sqrt(x)=8

A:

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: What is the value of log3(-9)

A: Given, The expression   log3(-9) We have to find the value of expression

Q: Use the change of base rule to find the logarithm to four decimal places. log8 5

A:

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

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

Q: Use the laws of logarithms to expand the expression below: 3x2 In (x+1)10

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Q: Express the ratios in as ratios of natural logarithmsand simplify. logx a/logx2 a

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Q: Expand the logarithmic expression. 14. In 2x

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

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

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

A: Given, log(2x²+7x+6)-log(x²-4)

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

A:

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

A: Given  logarithmic expression is lnx4.

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

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

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

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

A:

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 Laws of Logarithms to expand the expression. .5 log2

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Q: Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(6x−5x+4). Make…

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

A: We have to express the expression

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

A: The given expression is log5x25y3

Q: Use the power rule to expand the logarithmic expression: log5 74

A: Given that log5 74 We need to expand the logarithmic expression using power rule.

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 quotient rule to expand the logarithmic expression: log8(23/x)

A: Given : log823x

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

A:

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

A:

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 log2 7t². in

A: To expand using laws of logarithms

Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

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

A:

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

A:

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

A:

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 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: Change the logarithmic statement to an equivalent statement involving an exponent. log3 2 = x

A: log32=x

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: Use the product rule to expand the logarithmic expression: log4(7 . 5)

A: We have to expand the logarithmic expression log47.5 by using the product rule.

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given 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…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log9 x/log3 x

A: Consider the provided expression, log9xlog3x Simplify the provided function. Apply the logarithm…

Q: Expand the logarithimic expression.

A: log4x3y2x-15

Q: Use inverse properties of logarithms to simplify the expression eln√x.

A: We know that alogab=b                                                            ..1