8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.

Q: If log, (4x + 4) = 1, then x = You may enter the exact value or round to 4 decimal places.

A: Find x such that  log24x+4=1,    Apply log property logab=1 if a=b. Therefore, log24x+4=1 when…

Q: express as sum of logarithms log4(14*22)

A: Here we use the product rule for the logarithms function:

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

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

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: 2) Match the logarithmic expressions to equivalent expressions and state the property or process to…

A:

Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: What will be the value of x for given logarithmic equation 10ln(x2-10)+2=8?

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: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

A:

Q: Condense the expression to the logarithm of a single quantity. 2 In(8) - 4 In(z - 6)

A:

Q: Express as a sum of logarithms. log 9(18• 12)

A:

Q: 3. Explain in a complete sentence why logą 20 is between 2 and 3.

A:

Q: Is log 3/4(1234) positive, negative, or zero?

A:

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

A:

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

A:

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

Q: What is the branch point of log(−2)?

A: Given expression is, log-2 Now, at the point z=-2 we can consider the path as a circle of radius R.…

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

A: We have to proof

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: The homework question asks to Solve the logarithmic equation algebraically, which im having…

A: Solving the logarithmic equation algebraically:log2(x+20)- log2(x+2) = log2 (x+2) = log2 xAccording…

Q: I estimate that log8 16 lies between 1 and 2 because 81 = 8 and 82 = 64.Determine whether the…

A: Given information: The value of log816 lies between 1 and 2, because 81 = 8 and 82 = 64.

Q: explain why log (5•2) is not equal to log 5• log 2

A:

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

A:

Q: If log.32 = 5, what is the value of x?

A:

Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: What is the value of (log 5 to the base 2) + (log 5 to the base 3)?

A: the value of (log 5 to the base 2) + (log 5 to the base 3) is

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: If log x = 6.3 and log y = 8.3, how do x and y compare?

A: If log x = 6.3 and log y = 8.3, how do x and y compare?

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

A:

Q: What can you conclude about log2 16, or log2(32/2)?

A: The given function is log216 or log2322 The logarithmic property is expressed as log mn=n log m The…

Q: Calculate: 4 log,5 logg27

A: Given: To Find: The exact value of the given expression

Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

A:

Q: if m=log10 n, what other relationship exists between m, 10, and n?

A:

Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?

A: We use Logarithmic properties

Q: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

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: Condense the expression to the logarithm of a single quantity. 2 In (5) - 8 In(z - 6)

A:

Q: If log, 2 = 0.3869, log, 3 = 0.6131, and log, 5 = 0.8982, ()- loga Round answer to four decimal…

A: Given loga 2 = 0.3869, loga 3 = 0.6131  and  loga 5 = 0.8982 we have to find loga310

Q: Express as a sum of logarithms. log g(18-12)- og 9(18 - 12) Enter your answer in the answer box.

A: Answer and explanation is given below..

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

A: Use property of logarithm

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

A:

Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

Q: Estimate using the change of base formula.

A: Consider the logarithmic expression log90.2 to evaluate the value of this, use the change of base…

Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: What is the exact solution to the equation 10" = 97? Enter your answer in the box. x = log

A: