10. Simplify the following into one logarithm: 8log2V3x 2 - log2(*)log24

Q: Differentiate log(x² + 1)². O (x2 + 1) ln 10 4x O 4x(x² + 1) ln 10 O 2x(x² + 1) ln 10 4(x2 + 1) In…

A:

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

A: Given,

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Express as a single logarithm. A) logbase5 6 + logbase5 8 - logbase5 12  B) 2 log 3 + 4 log 2  C)…

A:

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

A:

Q: Express as a single logarithm. log10(30) − 1/4 log10(10,000)

A:

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

A:

Q: If L- k then logL is equal to OA 2109 2log- В. 2(одх - logk) C. 2logx – logk O D. 2logx logk 000

A:

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

A: eln 8 x5- ln 2 x2

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

Q: Compute log3 without using a calculator, where log3(X) = 81 - 1.5

A: Using logarithmic Properties.

Q: Evaluate a logarithm whose base is neither 10 nor e

A: To evaluate logarithm whose base is neither 10 nor e

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

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

A: The answer is found in step-2

Q: Approximate x to three significant figures.

A: Logarithm is the exponent or power to which a base must be raised to get a given number. For example…

Q: Express as a sum of logarithms. log 9(18• 12)

A:

Q: What is the value of x in logx > 2log4?

A:

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: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: 1. Express Inxy2 as a sum, difference or multiple of logarithms.

A: To Express: a. lnxy2 as a sum, difference or multiple of logarithmb. log56 as a quotient of…

Q: 1) Condense the following logarithr 4log3x + log,v 2) Expand the following logarithm log.()

A: We have to expand logarithm

Q: Express as a sum of logarithms. log 6(13 • 14) = %3D log 6(13 • 14)

A: We will use the logarithmic property return below

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: Which of the following is equivalent to 142 = X? O logx(14) = Z O log x(Z) = 14 O log14(Z) = X O…

A: The objective is to find the correct option.

Q: 5) log, (x + 8) - log,

A: Solve the given equations  5.log3x2+8-log38=5

Q: Differentiate log(x² + 1)². O 2x (x2 + 1) ln 10 O 4x(x² + 1) In 10 4(x2 + 1) In 10 O (x² + 1) ln 10…

A: see below the answer and calculation

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: 11. If Log(3) = 0.4771 and Log(2)=0.3010, compute Log(√3456) without using a calculator.

A: Given:-log(3)=0.4771log(2)=0.3010using properties of loglog mn=nlogmlogm·n=logm+logn

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

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: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

A:

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: 9) Write as a sum or difference of logarithms, express powers as factors: In 2 x(x² + 1)² V3x=T

A:

Q: 3. Write as a single logarithm. 4 logx- log Vx + logVx?

A: To write in single logarithmic of following (1/2)[4logx - log√(x5)] +log∛(x2)

Q: -10 log x²

A:

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

A:

Q: Express as a sum or difference of logarithms without exponents. log c 5 3 y z

A:

Q: Express as a sum of logarithms. log g(18-12)- og 9(18 - 12) Enter your answer in the answer box.

A: Answer and explanation is given below..

Q: 5. Condense the logarithmic expression logx-logy+logz.

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: 6. Expand In a*b² as a sum, difference; and/or constant multiple of logarithms.

A:

Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Express

A:

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.