log, 7 + log, 3 log,] 8.

Q: How are the two equations 102=100102=100nn and [][]log10(100)=2log10⁡(100)=2 related?

A: We need to show relation between given equation.

Q: 6. Solve log,(1 – 3x) = log,(1 – 5x) – log, 2x (A)

A: Some of the properties of the logarithmic function  If logax=logay then x=y logax+logay=loga(xy)…

Q: (*) We can expand log to get

A:

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: 0.004 using a log table

A: The integral part of a common logarithmic is known by, Integer parts as the characteristics and the…

Q: Give at least two examples of the first 3 logarithmic properties.  Property 1- Property 2-…

A:

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: Express in terms of logarithms of x, y, z, or w.

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: Exercises 150-152 will help you prepare for the material covered in the next section. In each…

A: log232On simplifying further we get:log232=log225        (using,25=32)⇒log232=5log22…

Q: A population of mice doubles every 6 months. If it started with 4 mice, how many will there be after…

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

A:

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.

A: The graph for the model is shown below. From the graph it is clear that the function is not good…

Q: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: LogaX

A:

Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: A certain type of component can be purchased new or used. Fifty percent of all new components last…

A: Lack of Memory Property: The random variable T has Exponential distribution with parameter , and t…

Q: A login for a bank website consists of 2 letters followed by 5 numbers.  If the number or letter can…

A: Given that a bank website consists of two letters followed by five numbers.

Q: Prove log, + log, 20 log, 8 = o

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

A:

Q: IF LOGnB^2= 5 determine the values for logbN^3

A: Please refer the attached image for complete solution.

Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms: log4yx We know the property of logarithm,…

Q: Between which two consecutive integers must log, (40) lie? Be sure to explain your reasoning. //…

A: We have the given number as log340 Let us consider that, 33<40<34

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: In x

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms of x, y, z or w: log3xyz We know the properties of…

Q: How are the two equations 102 = 100 and log10 100 = 2 related?

A: Here I am attaching image so that you understand each and every step.

Q: A login for a bank website consists of 2 letters followed by 5 numbers.  If only the letter cannot…

A: Given- A login for a bank website consists of 2 letters followed by 5 numbers. To find- If only the…

Q: 5log(8)-1 log(x)

A:

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: Which of the following in not equivalent to log, 3z O 4 log, y - log, 3x O 4 log, y – log, 3 - log,…

A: logmn=logm+logn log(m/n) =logm-logn

Q: Define log-linear models?

A: To define log-linear models.

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Let B(t) is the number of bacteria after time t, and B0 is the number of bacteria at time t is 0.The…

Q: amount of 1500 is invest for 5 years at the rate of 2% for the first two years, 5% for the third…

A: Given query is to find amount after 5 years.

Q: 1. Evaluate log,

A:

Q: 1. Express logx m + log, n-Glogx m- log, n): as a single logarithm.

A: As per our guidelines we are supposed to answer only one question, kindly repost the remaining…

Q: 2. Explain why log, 20 also tells us when the population will reach 100,000.

A: Please see the below picture for detailed solution.

Q: If a viral cell penetrates a healthy rabbit, the cell will divide into two in about one day. After a…

A: Here, the viral cell doubles in one day. So, let t be a number of days. So, the number of viral…

Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

A:

Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

A:

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Growth of the bacteria can be obtained by the formula,

Q: Write out a table of discrete logarithms modulo 17 with respect to the primitive root 3.

A:

Q: Value of log2 32+ log₂ 16, will be.

A:

Q: The logarithm of a product of two numbers is the same as the--Select-- v of the logarithms of these…

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Given: log4z3

Q: The union of two topo log ies is topo log y True O False O

A:

Q: Out of 100 patients, 41 were not cured and 59 were cured. The 41 not cured, 25 were not given…

A: Given data :    Treatment given  Not treatment given  Total  Cured patients  37 22 59 Not…