9. In the definition of the logarithmic function log, x, what are the allowable values for the base b, and why?

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

A: The given logarithmic expression is,

Q: he logarithmic function f(x) = log x is transformed to g(x) = log(x + 1) + 3. Which of the…

A: solution

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: se the definition of logarithms to completely simplify e^in(2.3)

A: Explanation: Given that logarithm expression.

Q: - The property of logarithms states that log for positive real numbers b, x, and y, where b + 1.

A: According to the Quotient rule property of logarithm: logamn=logam-logan,    m,n,a>0 and a≠1

Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- ♥ So we can complete…

A:

Q: 3 When 16 = 8 is rewritten in logarithmic form, the result is log, b = c. Find the value of a, band…

A:

Q: 8. If logax = loga6, then x = M 9. logaN In 8 10. True or False. = 2. In 4

A:

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

A:

Q: Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your…

A: Answer:----.               Date:----11/10/2021

Q: Here is a table of some logarithm values. 1. What is the approximate value of log,, 400? 2. What is…

A: Given query is to find value of log10400 and log101000.

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: 1 What is the value of loge 36 ?

A: we can write by property of                           log6(1/36)= -log6(36)

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: 14. Given prime p := 8901577, primi Discrete Logarithm Problem via

A: Given: Let the prime p = 8101 And generator of Z8101 in a=6

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

A:

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

A:

Q: 36=6^2 logarithmic function that is equivalent

A:

Q: Define the logarithm function with bae?

A: According to the question, we have to define the logarithm function with base e. As a logarithm is…

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

Q: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: 24. For which b does the definition of log,x just given make sense, and why? Is this the same…

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: 11. If c, then x is equal to a logc – loga logb logc loga +logb logc +loga logb loge logb - loga

A:

Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

Q: Why do you think we need to have restrictions on the variables especially the base (b) and the…

A: Assume a logarithmic function, f(x)=logbx.

Q: 7. True or False If y = loga x, then y = a".

A: Given that  y=logax

Q: If VA= B, then log a B =. --

A:

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

A: Logarithm s

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: 1. If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to calculate resulting function after translation.

Q: 2. How many 3-letter words with or without meaning, can be formed out of the letters of the word,…

A:

Q: Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what…

A: The geometric mean of this experiment is, G=Antilog∑logniXin=Antilog8.243110=Antilog0.82431≈2.2803

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

A:

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

A:

Q: 22. Another way of expressing Inx is log x.

A:

Q: 1/15 Correct without the use of a calculator. Write your answer as log(0.01) low)

A: In this question we will use basic of properties of log. As we know that log(ab)= b(log(a)) and…

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

A:

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: 5. Prove if the following function is differentiable y = x loge-*

A: Given that: y=xloge-x

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

A: Given, We know that, lna·b·c=lna+lnb+lnclnam=mlna

Q: 1 1 1 The value of ....+- log, n log,n

A:

Q: 2) Evaluate the following without using a calculator. Show your work. a) loga 8 = b) log: (

A:

Q: The Euler’s number, e, is of eminent importance in mathematics alongside 0, 1, π and i. It is an…

A:

Q: 6. Expand In a*b² as a sum, difference; and/or constant multiple of logarithms.

A:

Q: 9. Use common logarithms to approximate log, 72 to four decimal places.

A:

Q: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b

A: