### Want to see the full answer?

Check out a sample Q&A here*arrow_forward*Check out a sample Q&A here

*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

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

A: Click to see the answer

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

A: We have to simplyfing this

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

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 as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

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

A: Given,

*question_answer*

Q: The least value of the expression 2log10x – log:(0.01), for x > 1, is-

A: Introduction :

*question_answer*

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…

*question_answer*

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

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

*question_answer*

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.

*question_answer*

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

A: To expand the logarithmic expressionlnxy2z3

*question_answer*

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

A: Click to see the answer

*question_answer*

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of ln (2) and ln(3)

*question_answer*

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

A: We first write the inner expression using an exponent.

*question_answer*

Q: express the following as a single logarithm ln x+ a ln y - b ln z

A: Click to see the answer

*question_answer*

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

*question_answer*

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

A: Given

*question_answer*

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

A: The expression: ln 5+ 5 ln 3

*question_answer*

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: Click to see the answer

*question_answer*

Q: Write the following expression as a single logarithm with coefficient 1: In (2z") – In(3z°) +…

A: Given- ln2x9-ln3x6+ln8x7 To Write- The above expression as a single logarithm with coefficient 1.…

*question_answer*

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:

*question_answer*

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

*question_answer*

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

A: Click to see the answer

*question_answer*

Q: Express the following sum and/or difference of logarithms as a single logarithm with base 3. loga y-…

A: Click to see the answer

*question_answer*

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

A: Click to see the answer

*question_answer*

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

A: Click to see the answer

*question_answer*

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.

*question_answer*

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

*question_answer*

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

A: Click to see the answer

*question_answer*

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 +…

*question_answer*

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

A: It is a logarithmic problem

*question_answer*

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

*question_answer*

Q: Which of these are equivalent to log 1? yz?

A: Click to see the answer

*question_answer*

Q: Which of these are equivalent to log 1? yz?

A: Logarithmic base properties: - A logarithm is just a different way of expressing exponents. When…

*question_answer*

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

A: Given: log2xlog3x we know that logmn=lognlogm

*question_answer*

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

A: Click to see the answer

*question_answer*

Q: Given that log2=x, log3=y, and log7=z, express log15 in terms of x, y, and z.

A: The answer is found in step-2

*question_answer*

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

A: Click to see the answer

*question_answer*

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

*question_answer*

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

*question_answer*

Q: Find the value of x. log3 x = 6

A: Given that log3x=6 We know that If logax=b Then x=ab

*question_answer*

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

*question_answer*

Q: Assume that x, y, and b are positive numbers and b not equals to 1. Use the properties of logarithms…

A: Click to see the answer

*question_answer*

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

A: Click to see the answer

*question_answer*

Q: x² 6 + ,X log (x² + 7)(x³ – 5)² -

A: Laws of Logarithm:

*question_answer*

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

*question_answer*

Q: Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O…

A: Use the exponent rule of logarithm to write 3 as exponent.