V (P) = log (2) (5) + + log (4) 2, + log (8) = log (4) + ...

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: A colony of bacteria is growing exponentially. At time t = 0 minutes it has 300 bacteria in it, and…

A: Let's Solve,

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: Solve th equation for x. log2(log3 x) = 4

A: Consider the given: log2log3x=4Using log Rule:logap=n is equivalent to p=an,log2log3x=4…

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

A:

Q: (*) for a exponential function with a base of 4 that passes through the point 0 ns, different from…

A: We have to find the following conditions according to the given information

Q: Log 2= 0.301, log 3= 0.477, log 5=0.699 and log 7=0.845 Find:  Log 2.4 Log 6/7

A: (i) log(a/b) = log(a) - log(b) (ii) log(ab) = log(a) + log(b)

Q: The number of rabbits in a certain population doubles every 40 days. Find the following growth…

A: Given query is to find growth factor for different values of doubling days.

Q: 2. The function f(x)= log₁0x has the point (10, 1) on its graph. Find the coordinates of the image…

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

A:

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: Find a formula for the exponential function passing through the points (-1,-) and (1,8) y% =

A:

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

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: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

A:

Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: Find a formula for the exponential function passing through the points (-3,- -) and (2,32) 32 y =

A: The standard form of exponential function is given below: y=abx where, a≠0, b>0 and b≠1.

Q: Find a formula for the exponential function passing through the points (-2,-) and (1,10) y =

A: On solving this we will asume firstly general exponential function so  we will get

Q: Find a formula for the exponential function passing through the points (-3, 2 / 27) and (1, 6). y =

A:

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

A:

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

A: The number N of deer present at time (t) is given by Nt=12.350.01+0.54t    .....1

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

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: 2.A mold population is growth at 8% every three months. If there is initially 3 cubic centimeters of…

A: Formula : Population Growth: P=Po(1+r)n r= rate of growth Po =initial value P= present Value n= no…

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: How do I solve 8^2x-5=5^x+1 And the equation  2+log10 √1+x+3 times log10 √1-x=log10 √1-x^2 For x?

A:

Q: A mold population is growth at 8% every three months. If there is initially 3 cm3 of mold, when will…

A: Formula for population growth is  P=P0ert where P = final population after time t P0 = initial…

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000…

A: Given:The initial number of mosquitoes is 1000. That is, P0 = 1000.The numbr of  mosquitoes is 1600…

Q: The number N() of people In a community who are exposed to a particular advertisement is governed by…

A:

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: What are the blanks?

A: Note: We are authorized to answer three sub-parts at a time. Since you have asked more than three…

Q: Example 2.28. Find a real root of 2x - log 10 iteration method. 7 correct to four decimal places…

A: The give polynomial is 2x-log10x=7. To find: the root of the polynomial.

Q: 4. A bank pays interest continuously at the rate of 6%. How long does it take for a deposit of Qo to…

A:

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

A:

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: Some biorlogos model thenumberof S species in afixed area A (e.g. an island) with therelationto…

A:

Q: п/4 Show that log(1+ tan8)d = log2. 8

A:

Q: A rumor is spreading on an island with a population of 50,000 individuals. When the rumor starts to…

A:

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

A:

Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: log base 3 (x+3)+log base 3 (x-3) = 3

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: 9. -2 8) logx 4 3.

A:

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

A:

Q: 7. If the equation 3(5)“ =k is solved for x in terms of k, the result is 1 k (1) x=-log, 3 3 = 2…

A: Solving this expression we have

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

A: