1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81
Q: if a=log m and b=log k . what is log m6/k7 ?
A: Given, a =log m and b = log k
Q: We get the same answer if we do the following calculation using In in place of log. logs 15 = log 15…
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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…
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Q: 3 When 16 = 8 is rewritten in logarithmic form, the result is log, b = c. Find the value of a, band…
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Q: 4. Find x if the base 3 log of (2x+3) is equal to 4. 30.5 81 O39
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Q: What values could replace the "?" in these equations to make them true? 1. log10 10, 000 =? 2. log1,…
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Q: Find the largest value of x that satisfies: log, (z?) - log,(т+ 4) 3D 6 || | x = You may enter the…
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Q: 14. Set up and solve an equation to evaluate log, ().
A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1
Q: 1. Calculate the answer, in correct significant figures, of the expression below: antilog(2.580) log…
A: Find your answer below
Q: 18. Use common logarithms to approximate log, 207 to four decimal places. O A. 0.4120 B. 3.2702 C.…
A: Topic-logarithms
Q: 3. Evaluate gloE, 54 A. 54 B. 486 С. 6 D. log, 54
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Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)
A: Given: loga2=3 and loga5=7 To find loga1,000,000,000
Q: To describe cuantitatively the acidity or acalinity of certain substances, it is used the formula:…
A: For vinegar plug [H+] = 6.3x10^-3Then using calculator we find the value.Answer: Ph of vinegar =…
Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10
A: Derivative of the function
Q: Given the functions ) - logz and )-2-x which of the following is most likely the graph of-Aet?
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Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…
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Q: 4 Given that log 30.94, logb4≈ 1.186, and log b7 1.665, find log b b H IGWE SONY Siti TARTEM BEN…
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Q: log, 5= 0 1 O 6 8. 0 7 O 5
A: To find
Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…
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Q: 11. If c, then x is equal to a logc – loga logb logc loga +logb logc +loga logb loge logb - loga
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Q: 1. What is the value of x in loga 3 =-? A. 1 В. 3 C. 9 D. 27
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Q: 5. Evaluate the following using a method of your choice. a. log,729 = b. log 7776– log,36
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Q: 6. Find x if the base 7 log of 126 is equal to x.
A: logab = log b / log a
Q: Solve. log, (s) = – 6 S = Preview
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Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}
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Q: 4 Given that log m3 ~ 0.945, log m4≈ 1.192, and log m7≈ 1.674, find log mm log m (Type an integer or…
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Q: If VA= B, then log a B =. --
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Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible.…
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Q: 2 Which of the following is equivalent to log,(m) logm(20) ? 80 H log(5) log(m) K log.20
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Q: Given that m = log, z, what is log, z equal to? O m O ym O 3m
A: This is very complicated problem.We have to think deeply to solve this problem.Therefore I can solve…
Q: -Given that p log, 5, q log, 2 express the following in terms of p and/or q. log, 0.625
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Q: |(a) If log; x |(b) If log3 x = 9, th E5 6, th
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Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?
A: We use Logarithmic properties
Q: 9) Write as a sum or difference of logarithms, express powers as factors: In 2 x(x² + 1)² V3x=T
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Q: 2. Given p = 2' and q = 2', express log, p'q in r and t terms. 64
A: Given
Q: 5. Evaluate the following using a method of your choice. a. log,729 = b. log,7776– log,36
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Q: Use the Laws of Logarithms to expand the quantity.
A: Given, We know that, lna·b·c=lna+lnb+lnclnam=mlna
Q: The value of 31 log, /4 is O 15.5 O 31 62.0 O 124.0 O 0.0
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Q: Which of the following is not equal to 5? log 100 000 6log, 5 In e logs 1
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Q: . If log,c 4 and log.b 6, what is the value of d if log.a' d?
A: For the solution follow the next step.
Q: 1. Evaluate the following. Final answer is in exact form, no decimals. 1 log, 16 – log, 32 log7 a)…
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Q: What is the value of Log(1 – i/3) In/2 – in/3 In3 + in/2 In2 – in/3 In4 + 2in/3
A: Here we find value of Log(1- i√3)=?
Q: log, 81 = 4 O 34 = 81 O 43 = 81 O 813 = 4 814 = 3
A: The given logarithmic function is, log381=4 To express the given logarithmic equation to exponential…
Q: 4. Solve the following natural logarithm for x: In (e?) = x A. 2 В.х C. e* D. In x O A O B
A: We have to find
Q: What is the value of x in log. 3 =- ? А. 1 В. 3 С. 9 D. 27
A:
Q: Write the expression as the logarithm of a single quantity. (5 In(x + 4) + In(x) – In(x? – 2)
A: we have to write the given expression in a single quantity
Q: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b
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- To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?The life expectancy, measured in years, of a child born T years after 2003 is given by: E=0.18t+77.16 If Tracey’s Has a sister that is born 13 years after she was born, how many more years with her sisters life expectancy be compared to hers? Assume both are born after 2003 so the formula above applies to both of their life expectancy’s. Round to 2 decimal places and don’t forget the labelThe logarithm of the ratio of the output to the input current of a transistor is called its current gain. If cur-rent gain measurements made on a certain transistor are normally distributed with μ = 1.8 and σ = 0.05, find theprobability that the current gain will exceed the requiredminimum value of 6.0.
- The amount of a radioactive isotope present in a certain sample at time t is given by A(t)=800e-0.02831t grams, where t years is the time since the initial amount was measured. How long will it take for the amount of the isotope to equal 508 grams?Suppose that the number P(t) of bacteria in a culture after t days is given by the formula. Find the growth rate of the bacteria, which is value of k so thatSuppose an unknown radioactive substance produces 7200 counts per minute on a Geiger counter at a certain time, and only 900 counts per minute 9 days later. Assuming that the amount of radioactive substance is proportional to the number of counts per minute, determine the half-life of the radioactive substance. The radioactive substance has a half-life of ........ days.
- Jay and John used to travel together but because of the pandemic, they decided to go separately following different paths. Jay follows a path described by loge y=x starting from (0,1), while John begins from (0,2) and follows the route defined by the equation y= 4x−3. If the two moves to the right at the same time where dx/dt= 1km/min, find the rate at which the distance between the two is changing when t = 4 minutes.A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, find (a) an expression for the mass at any time t (b) the time necessary for 10 percent of the original mass to have decayed.The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present in a given sample. Half of the original number of radioactive nuclei has decayed over a period of 1500 years.a) What percentage of original radioactive nuclei will continue after 4500 years?b) In how many years will only 10% of the original number of radioactive nuclei remain?
- When time is measured in days, the decay constant for a particular radioactive isotope is 0.16. Determine the time required for a confined sample of the isotope to fall to 45% of its original value. The time required for a confined sample of the isotope to fall to 45% of its original value is about __________________days.A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF AFTER ONE HOUR IT IS OBSERVED THAT 10% OF THE MATERIAL HA DECAYED, FIND (a) AN EXPRESSION OF THE MATERIAL REMAINING AT ANY TIME (b) FIND THE HALF-LIFE MATERIAL.Express in tearms of logarithms of a, b, c, w and y