Write In 4 + 4 In x + 6 ln (x² + 4) as a single logarithm. Assume all arguments represent positive numbers.

Q: Evaluate log (3+3i).

A: Given: log(3+3i)

Q: Write the logarithm in expanded form. 3z log, 어(플)

A: The given expression is log73z2.

Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

A:

Q: Expand the logarithmic expression. 7x In

A: To expand the below logarithmic expression. ln7x5y3

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

Q: Use the product rule to expand the logarithmic expression: log (100x)

A: Product rule in logarithm:  log (AB) = log(A) + log(B)

Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

A:

Q: Expand the logarithmic expression. 14. In 2x

A:

Q: Use the Product Rule of Logarithms to write the completely expanded expression equivalent to…

A:

Q: Assume that x, y, and d are positive numbers. Use the properties of logarithims to write the…

A: Assume that x, y, and d are positive numbers. Use the properties of logarithims to write the…

Q: Use the product rule to expand the logarithmic expression: log (10x)

A: Given: log (10 x)   To expand: log (10 x) using product rule.

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

A:

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

A:

Q: Evaluate log (2 +3i)

A: We evaluate log(2+3i)

Q: Use the properties of logarithms to write the expressions in as a single term

A: Given expression:

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 the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

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

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

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: Use the logarithmic properties to expand the expressions 1. log,7x 2. log,10a 3. log, 4. log,7x

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: Use the properties of logarithms to rewrite In /6x + 3 without the square root sign or any…

A:

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

A: We have to express the expression

Q: Evaluate the integral. 32 log 16(x + 32) x+ 32 xp-

A:

Q: Write expression log(x7y17/z19) as a sum or difference of logarithms with no exponents. Simplify…

A:

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

A: We will solve the problem

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Logarithm rules

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

A:

Q: Use the power rule to expand the logarithmic expression: log (4x)5.

A:

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: Use the One-to-One property to solve for x: log, (x + 2x) = log, (3x + 2).

A:

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Expand the logarithimic expression.

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

Q: Use the Laws of logarithms to rewrite the expression log, ( x11. y14 in a form with no logarithm of…

A:

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: Write as a single logarithm and simplify. In(x+1) + In(x-1)-2lnx

A: Hh

Q: Use logarithmic properties to write in simpler form. X In y In X

A:

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

A:

Q: Express as a sum, difference, or multiple of logarithms. In 7x/

A: To write the below logarithmic expression as a sum, difference, or multiple of logarithms. ln7x3

Q: Write In(x2 - 3x + 2) - In(x - 1) as a single logarithm. In(x + 2) In(x + 1) In(x + 3) In(x - 2)…

A: We can find the answer as given below

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: Expand the logarithimic expression.

A: lnx4+123x+16x-3

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

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

A: The answer is given in the below photo.

Q: Express as a single logarithm and if possible simplify

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.