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

Q: snipped

A:

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

A: Given,

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: By using u=ln(3x) and dv=6x dx, find ∫ 6x ln(3x) dx. Be sure to include the argument of the…

A: Consider the integral

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

A: eln 8 x5- ln 2 x2

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

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

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: Use the Laws of Logarithms to combine the expressior 5 log(x) 4 ! log(x2 + 1) + 5 log(x – 1) -

A:

Q: Use the properties of logarithms to expand the given expression as much as possible

A: Use division property of logarithm

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

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: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

A:

Q: Express the following using a single log: 3Log ab2 -Log a2b - 4 Log a/b - 3Log b2

A:

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

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

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Expand the following logarithm into the sum/difference of multiple logarithms in their simplest…

A:

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

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: 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 the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

Q: Write the following expression as a logarithm of a single quantity. 6lnx – 10ln(x² +3) a. In(6x –…

A: Use log property

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: 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: Express the following logarithms in terms of ln 5 and ln 7. (ln 35 + ln (1/7))/(ln 25)

A: ln(m*n)=ln(m)+ln(n)lnmn=ln(m)-ln(n)ln mn=n ln m

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: Expand the log by using the properties of log.

A: The given log function is,

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: Expand the logarithimic expression.

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

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

A:

Q: given log y+3 log(x+2): REWRITE as a single log

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: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: single logarithm:

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

Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

A:

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: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

A: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

Q: Express

A:

Q: 1. log (2x-3) - 2 = log(4x-1) %3D

A: Given that log(2x-3) - 2 = log(4x-1)

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…