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

Q: 1. log,x + log,4 - log,2

A: Hi,As per bartleby rules, We ar supposed to do only one question at a time.Kindly repost other…

Q: 4. Evaluate log, 185 to four decimal places. Show algebraic processes (no guess and test).

A: The given logarithmic expression is,

Q: 9. What is the maximum value of |Log z| |2| 1? on

A:

Q: 9. 8 logx 4. -2 - 3.

A:

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A:

Q: The logarithmic expressi on In can be rewritten as (1) 3ln y- 2 In y- 6 (3) 2 1-6 In y (2) 2 (4) Vin…

A:

Q: 2 Solve log, (2 sinx) + log,(cosx) =-1, for 2n<x<-

A: According to Bartleby's guidelines. We are allowed to solve only 1 question ata time. Apologies for…

Q: 5. Show that --I+#^) log, (V +1- x) + log, (VF+1+x) = 0 x². x² + 1 + x

A: We know the property of logarithm, logb(a)+logb(c)=logb(ac)

Q: 9. 8) logx -2 4. 3. I|

A: we have to find logx34=-23

Q: 9. Between what two consecutive integérs must the value of log,s00) lie? Justify your answer. gol-v

A:

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: 1. Show that (a) Log(-ei) = 1 - ži;

A:

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

Q: 8. Use the laws of logarithms to expand In in terms of sums, differences, (cos x)(x +1) and…

A: Some properties of logarith m are :(i) ln(a b) = ln a + ln b(ii) lnab = ln a - lnb(iii) ln ab = b l…

Q: log of the nth root of x equals log of x to the 1/n power and also equals to

A: The expression ax is the product of a with itself,  repeatedly x times. The function in the form…

Q: 1 [log, (x- y) - log; (x+ y)]

A: Given that: 12log5(x2-y2)-log5(x+y)

Q: Hiw/ prove That: logit 210gi @ log (iti)= 2 log (iti) ® log é#2log Z it z=

A:

Q: 4. Expand into sums and/or differences of logarithms: (a) log, y

A: To expand into sums and /or differences of the given logarithm.logx xyz

Q: PROVE that log5 100 = 2(1 + log5 2)

A:

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

A:

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

A:

Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: 2log(base 2)(x-8)-log(base 2)x=2

A: Given,

Q: Find a real root of 3x – log10 x – 8 using the Successive Approximation method. Correct to four…

A:

Q: 1. lim (10²-3log x-2(logx)²) X-10

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

A:

Q: Find all vawes of k don uhich log kx 112 log (x+) has one soluhion

A: Just use basics of logarithm.

Q: Suppose that all car owners fill when their tanks are exactly half full. At the present time, an…

A: Given that (1) The number of customers per hour arrive at a single pump gas station λ=7.5 the time…

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: y = log sin x (csc 4x)

A:

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

A:

Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

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Q: solve for x, log(x+5)-log(x+2)=2 please show work.

A:

Q: Solve for x:   logx=0.328 logex= 1.627  log2 x=6 In x= 0.444 x=antilog 3 -antilog 2  if base…

A: We will do algebraic manipulations along with applying the properties of log &amp; antilog And in…

Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

A:

Q: 7. If logab = x³ and log, (÷), determine the value of x by showing all steps in using the…

A: Given logab=x3 and logb4x2 Now, logbc=k. Then, bk=c           . . . (1) Applying this rule here,…

Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

A:

Q: 10. y = log2(sin x)

A: We have to find derivative. o differentiate given question.

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.

Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

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Q: Find a logistic function that satisfies the given conditions: initial value = 9, limit to growth =…

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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.