Use the properties of logarithms to rewrite In /6x + 3 without the square root sign or any exponents. In v6x + 3

Q: Express as a single logarithm. 5log,m- log,n

A: The rules one have to use in this question are logam-logan=logamnalogbm=logbma

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. log7(xvy)

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

A:

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

A:

Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

A:

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

A:

Q: Expand the logarithmic expression. 2x4 In y7

A: According to the natural logarithm quotient rule, . According to the natural logarithm product rule,…

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Use the properties of logarithms to write the expressions in as a single term

A: Given expression:

Q: Use the Laws of Logarithms to combine the expression. 3 In(2) + 5 In(x) - - In(x + 7)

A:

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: The simplified form of log 103 -8 is

A: Given: log1013-8

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: Expand the expression. If possibl youv answer without expenehts. log6 A3+x2

A:

Q: Express using a single logarithm  2loga2-logb-2loga2b+2logb

A: Given,

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

Q: Rewrite the left hand side as an expression of a single logarithm: log3(x-1)-log3(x+2)=2

A: Given,

Q: Write as a single logarithm: 2 log(x - 3) - log x

A: We have to write 2logx-3-logx as a single logarithm. Properties of logarithm are: 1. nlogx=logxn 2.…

Q: Expand log2 (2) as a sum and/or difference of logarithms without exponents.

A:

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

A:

Q: Use the Laws of Logarithms to expand the expression. 5x2 log2 y3

A:

Q: Write as a single term that does not contain a logarithm: eln &-In 2

A: Given,           A=eln8x5-ln2x2

Q: express as single logarithm and if possible simplify log 1000-log10

A: Given:

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. 4x7 In (x + 3)8

A:

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: Write as a single logarithm: 2 ln x + 1/3 ln(x + 5)

A: The given expression is 2lnx+13lnx+5

Q: Rewrite In() as a logarithmic expression with an 25 argument of 5.

A: We will solve the problem

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

A:

Q: Write as a single logarithm: log(7x + 6) - log x.

A: The given expression is  log(7x + 6) - log x.   Log rule:   logca-logcb=logcab

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Use the Laws of logarithms to rewrite the expression log, ( x11. y14 in a form with no logarithm of…

A:

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

A:

Q: Write as a single logarithm and simplify. In(x+1) + In(x-1)-2lnx

A: Hh

Q: Use the properties of logarithms to condense th logarithmic expression 5log2(x + 6) – 4log2y

A:

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. logVx2 +

A: We have to expand

Q: Use the Laws of Logarithms to expand the expression. log3 8x

A: log38x Concept log (ab)= log(a)+log(b) logabm = m logab

Q: Express as a sum, difference, or multiple of logarithms. In 7x/

A: To write the below logarithmic expression as a sum, difference, or multiple of logarithms. ln7x3

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: Expand: log8 (4√x/64y3).

A: Given, log8x464y3

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: Express as a sum, difference, or multiple of logarithms.

A: The answer is given in the below photo.