To find a logarithm of a number, two case must be considered. Critically outline these cases in the field of mathematics, compare and contrast them and illustrate your answer with suitable practical examples from any field of application.

Q: What is the definition of the logarithm?

A: In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of…

Q: Find the exact value of the logarithmic expression ln(1/√e)without using a calculator.If this is not…

A: Given: Let y=ln1e To Find: To evaluate the given expression.

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

A: The given logarthim expression,   log327

Q: It’s important for me to check that the proposed solution of an equation with logarithms gives only…

A: We know ,a logarithmic function of the form,logax is defined only when, Meaning that logarithmic…

Q: What question can be asked to help evaluate log3 81?

A: What question can be asked to help evaluate log3 81?

Q: What are 3 properties of exponents and what are their companion properties of logarithms?

A: What are 3 properties of exponents and what are their companion properties of logarithms? This can…

Q: Explain how to find the domain of a logarithmic function?

A:

Q: The Quotient (log4x)/(log2x) has a constant value.What is the Value?

A:

Q: Based on the definition of logarithms, what is log101000 ?

A: We have to find the exact value of the logarithm Recall the properties of the logarithms as shown:

Q: I can evaluate some common logarithms without having to use a calculator ,Determine whether the…

A:

Q: What is the most important concept that I need to know about logarithmic functions and what are the…

A:

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

A: We have to find out the value

Q: (b) log(- yz-4

A:

Q: Between which two consecutive integers is the value of the common logarithm of 100,000,421?

A: 100,000,421 is between 100,000,000 and 1,000,000,000.…

Q: In one of the properties of logarithms, the division becomes subtraction. Explain what it means.…

A: Topic : logarithmic properties

Q: what is a logarithm, what can it be used for and please provide an example of it being used

A: the logarithm is the inverse function to exponentiation. That means the logarithm of a given number…

Q: Find the exact value of the logarithm without using a calculator. log , 4 log | (Type an integer or…

A:

Q: Evaluate the expression log3 38 without using a calculator. If evaluation is not possible, state the…

A:

Q: Evaluate log3 81 without using a calculator.

A:

Q: log, 16 =

A:

Q: Justify why log (6) must have a value less than 1 but greater than 0. //

A: We have to proof

Q: Determine whether the following statement is true or false, and explain why.

A: We know, By definition: logax=y,if and only if x=ay Also by logarithmic property:logaan=n…

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

Q: Suppose you're using a scientific calculator (like most phone calculator apps when you hold the…

A: To Determine: calculate log317 Explanation: we know that there are two types of logarithm  common…

Q: Evaluate the expression log3(-9) without using a calculator. If evaluation is not possible, state…

A: Let the given value be y - y = log3-9Here, the solution to this problem is not possible because a…

Q: What is the common logarithm?

A: What is the common logarithm?

Q: Find the common logarithm without using your calculator log 1

A: We find value of log 1 =?

Q: Explain why there is "natural log" or written as ln?

A:

Q: Evaluate the expression log100 0.1 without using a calculator. If evaluation is not possible, state…

A:

Q: Find the common logarithm without using your calculator. log 1

A: 1 can be express as 10 to the power 0.

Q: Explain why the log (-1) does not exist.

A: You need to have the idea of domain in order to get the answer of this question.

Q: Explain the meaning of logb x.

A:

Q: How many code words of all lengths can be made from the letters of LOGARITHM, repeated letters not…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building…

A: Given f(x) =2xand strength is 8 Pascals

Q: Is the value of log3 a positive number, a negative number, or zero? Explain how you would know…

A: Given expression:

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: Explain why the logarithm of 1 with base b is 0?

A: We have to prove that logb1=0 We know that a0=1 Taking log both sides, logba0=logb10 logba=logb1…

Q: Select the pair below which shows the correct conversion from logarithmic form to exponential form.

A:

Q: What is 2*log(3)?  Expanded and get the exact answer.

A: Use property of logarithm

Q: How can I diffefentiate this logarithmically?

A: y= (sinx)x [Given] log (y) = log (sinx)x

Q: Is the value of log4 a positive number, a negative number, or zero? Explain how you would know…

A:

Q: What is an exponential equation?

A: The exponential function is one of the most important functions in mathematics (though it would have…

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

A:

Q: What is the value of log10 (1,000,000,000)? Explain how you know.

A: Solution ) y =  log10(109) (Formula loga(x) = y if ay = x ) So  10y = 109 (Formula ( am = an  so m =…

Q: The power rule for logarithms states that logb Mp =______ . The logarithm of a number with an…

A: The power rule for logarithms states that logbMp=______ . The logarithm of a number with an exponent…

Q: Determine whether the given statement makes sense or does not make sense, and explain your…

A: Given:  The reasoning " I can evaluate some common logarithms without having to use a calculator."…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.