Condense the expression to the logarithm of a single quantity. ln x − [ln(x + 1) + ln(x − 1)]

Q: Condense the expression 3 ln x + 2 ln(x + 1) to the logarithm of a single quantity.

A: The logarithms have the following properties. Given logarithm expression:

Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

A:

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: In the given question as follows,, write the expression as a logarithm of a single quantity:-   4 ln…

A: Here given expression  4 ln 2-12lnx3+6x

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

A: Given expression is  ln (x y z)

Q: Rewrite the expression as a single logarithm. ln(x − 10) + 1/2 ln x − 2 ln x

A: Here we will Use the following properties of logarithm.  (1) a logx = log xa (2) log x - log y = log…

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

A: Given  logarithmic expression is lnx4.

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: condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

A: Given query is to condense to a singl logarithm with a leading cofficient of 1.

Q: Write the approximate logarithmic equation as an exponential equation. ln(7.15) = 1.9671

A:

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

A: According to the logarithmic product rule log pq=log p+log q. Use the product rule of logarithm to…

Q: In the given question as follows,, write the expression as a logarithm of a single quantity:-   ln(x…

A: We have to write the expression as a logarithm of a single quantity: lnx-2-lnx+2 We know the…

Q: Find the exact value of the logarithmic expression without using a calculator. ln (1/square root of…

A: Please see the explanation below

Q: Solve the logarithmic equation for x. 6 ln(4 − x) = 5

A:

Q: Use the properties of logarithms to expand the logarithmic expression     ln[(x2 + 1)(x − 1)]

A:

Q: How is the graph of loga x related to the graph of ln x? What truth is in the statement that there…

A:

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

A: The given expression is,

Q: Condense the expression to the logarithm of a single quantity In x - [In(x 1) In(x - 1)1

A: The given logarithmic 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 −…

A:

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

A:

Q: The change-of-base formula states that logb x can be written as a ratio of logarithms with base a as…

A: Change of base formula:

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given ln 2 = a and ln 3 = b.To find ln 27 in terms of a and bFormula:log ab=b log a

Q: b) 4 log(x – 2) – 3 log( 5x + 1)

A:

Q: In the given question , use the properties of logarithms to approximate the indicated logarithms,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: slove for x by converting the logarithmic equation to exponential form log7(x)=-3 x=

A:

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

A: Given,            lnx2x1/21+x3

Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

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

A:

Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 2 0.6931 and…

A: Given that - ln2 = 0.6931            ......................................1ln3 = 1.0986…

Q: Solve the logarithmic equation for the unknown x. log4(x + 1) – log4(x – 1) = 3 |

A: Given : log4x+1 -log4x-1 =3

Q: How is the graph of logax related to the graph of ln x? What truth is in the statement that there is…

A: To show the graph of logax related to the graph of lnx, let provide some notes on the function ax…

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

A:

Q: Condense the expression to the logarithm of a single quantity. 1 2 1/2[6 ln(x + 7) + ln(x) − ln(x6…

A:

Q: Condense the expression to the logarithm of a single quantity. 4[ln z + ln(z + 7)] − 2 ln(z − 7)

A:

Q: Condense the expression to the logarithm of a single quantity. 6 ln(2) − 5 ln(z − 4)

A: Use the exponent property first

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

A:

Q: Solve the logarithmic equation for x : log2 (x - 2) + log2 (x - 3) = 1

A:

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: What is the natural logarithm of e to the xy power

A: To find what is the natural logarithm of e to the xy power?

Q: Calculate the given natural logarithm without using your calculator ln(1)

A: 1 can be written as e^0

Q: Condense the logarithmic expression. 2 In 5 + 2 In x – In y=||

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 −…

A:

Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 4 1.3863 and…

A:

Q: Use the one-to-one property of logarithms to find an exact solution for   ln(6)+ln(6x^2−2)=ln(109)…

A:

Q: Condense the expression to the logarithm of a single quantity. 3 ln(x + 2) − 8 ln(x + 3) − 5 ln x

A: Given, 3 lnx+2 -8 lnx+3-5 lnx   We have to condense the above expression to a single quantity.

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…