In(x + 1))

Q: snipped

A:

Q: Express the quantity as a single logarithm. In 2 +In 27

A: Given,

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

A:

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. x3 - x =…

A: Given x3 - x = log(x + 1)

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

A:

Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. log x =…

A: The graphing device helps to find the solution of the given equation. Substitution of the given…

Q: Write the logarithm in expanded form. ху5 log8 z10

A:

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

A:

Q: Express the given quantity as a single logarithm.  ln 5 + 5 ln 3

A: Given

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: Write log, x + log, y as a single logarithm with coefficient 1.

A:

Q: 1 3 log, (x²) + log, vx

A:

Q: (a) In (x (b) log; 2y2

A:

Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: Write 5 ln x + 3 ln (x² + 4) – , In (x + 8) single logarithm. as a - -

A: The logarithmic expression is given by 5ln(x) + 3lnx2+4 - 12lnx+8

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: Express as a single logarithm. log H+ log Z

A:

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

A: log32xy

Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Express th equation in exponential form.

A: Logarithm equation can be converted to exponential using the following properties of a logarithm.…

Q: Condense the expression to the logarithm of a single quantity. (Assume all variables are positive.)…

A:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Rewrite In x' as a single logarithm with no exponents.

A: We will solve the problem

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

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

A: To expand the logarithmic expressionlnxy2z3

Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

A:

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: logan=nloga   logab=loga-logb

Q: Express in terms of logarithms of x, y, z, or w.

A:

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.

A:

Q: Find the exact value of the logarithm without using a calculator. In Ve In Ve (Type an integer or a…

A:

Q: Use properties of logarithms to expand as much as possible.  log√[(x5)/(y3z)]

A: Given, logx5y3z We will solve it by using the properties of the logarithm

Q: Express the ratios in as ratios of natural logarithmsand simplify.

A: Given expression as K=log2xlog2x Since logab=log blog a

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

A: logax2yz3

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

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: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

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: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: Write as a single logarithm: 1 In(x - 1) + 2 In(3r + 1) + In (r? + 9) - 2 ln 3- In z 2 3 In 2 -

A:

Q: Estimate using the change of base formula.

A: Consider the logarithmic expression log90.2 to evaluate the value of this, use the change of base…

Q: what is the natural logarithm of 1/exy?

A: