QUESTION 2 Which of the following is equivalent to 4log3(6) + 2log3(x)? O A. 8log3(6x) O B. log3(6) x log3(4) × log3(2) × log3(x) OC. log(6*x²) O D. 6log3(8x)

Q: Find the largest value of x that satisfies: log, (2) – log,(æ + 1) = 1 2 Calculator

A: We have to find x

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A:

Q: Question 19 Simplify the following into a single logarithm: 5 log(6) + 2 log(x) 5. 6 O log O log…

A:

Q: Which of the following is equivalent to In(2x – 3) = 5 e2x-3 = 5 %3D e = 2x - 3 %3D log5 e = 2x - 3…

A:

Q: Solve each equation.

A: According to logarithimic rule , . If , then .

Q:

A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: Question 13 (Loggx)(Logx9) = ? a) 1 b) 2 c)-1 d) none of these. 01.a 02.b 3. c 04.d

A: we have (log9x)(logx9)

Q: If log, 3 = 0.7925, log, 5 = 1.161, and log, 7 = 1.4037, then the value of log, V21 is O 2.2767 O…

A: Given: logb3=0.7925 logb5=5.161 logb7=1.4037

Q: Question 16 Write the following as a single logarithm: In(x) + In(x²) – In(x + 1) = O In(x/(x+1) O…

A: Solution

Q: QUESTION 4 Which of the following is equal to 2ln(1)-log,(4) ? If necessary, possible answers were…

A:

Q: 6. If log3x = 10 then evaluate each of the following without a calculator. %3D a) log3 (9x) b) log3…

A:

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: 1. Which of the following is not equivalent to log 367 (1) log 2+log18 (3) log 30+ log 6 (2) 2log 6…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A: Given: ln2=aln3=b

Q: Given that log,(N)=2, then logl- O-1

A: We can use the concept of logarithm in order to get the solution.

Q: One of the following is False: Select one: Log(z12) = Log(z11) + Log(z2). %3D dogz = z if z 0. %3D…

A: Given :- find the false statement.

Q: 1. Write as the sum or difference of logarithms V5 log3- q2p a) log3 5 - log3q - log3p b) log3 5 -…

A: Given logarithmic expressionlog35q2p

Q: Question 20 Rewrite the expression without the log of a product, power or root. log3 18 Vyl ,19

A:

Q: Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x…

A: GivenAlog10 10 = 1B.log (2 + 3) = log (2 x 3)C.log10 1 = 0D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Q: Suppose we know that log(x) = 6.2. Find the following values. (a) log(10x) (b) log(1000x) (c) logi…

A:

Q: Question 12 Evaluate each of the following expressions using a method of your choice. b. logga 27a³…

A: Formula used: 1) Power rule: logbxn=nlogbx 2) Change of base rule: logba=logalogb 3) Quotient rule:…

Q: Question 1: Write the following Logarithmic expressions as a sum of logarithms expressing all powers…

A:

Q: QUESTION 16 Find the domain of f(x)=log(x – 7)-

A:

Q: 2log(base 2)(x-8)-log(base 2)x=2

A: Given,

Q: Example 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log…

A: Refer to the question we need to find the value of x of the provided logarithm equations as,

Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: QUESTION 15 Solve for x: Log2(3-x)+log2(1-x)=3 T TTF Paragraph V Arial 3 (12p XD Q fx Mashups EE 目

A: Using logarithmic property

Q: If log = log (n) – log(m) п Then log 12 || 3

A:

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: what is b if ( log b x) ' = 1/3x

A: Concept: Derivative of log(x) is  logx' logx'=1xln(10)....................(as log is default base…

Q: Which of the following is true? Select one: a. log48 = 2 b. log36 = 2 C. log216 = 4 С.

A:

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

A:

Q: QUESTION 1 Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)? log3 a B. log3(b²+x$…

A: Here we are given an expression 2log3(b)+5log3(x)-log3(a) We have to found its equivalent form by…

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: Suppose we know that log x = 7.4. Find the following. log (1000x)

A:

Q: Which of the following would is a Step in solving for x ? %3D log2 (8x) + log, (3x- 5) = 3 O log,…

A: We have to find the step which is involving in solving for x: log28x+log23x-5=3 We know the product…

Q: If log2(3r + 5) = 5, then z =

A: We have to find the value of x log2(3x + 5) = 5 . So , By logarithmic properties. loga(b) = C Means…

Q: Which of the following is equivalent to log₂ (x²) − log₂ (2x¹) + log(x²)? Select one alternative: O…

A:

Q: QUESTION 7 Express as a single logarithm and, if possible, simplify. - log ax + 3 log a y - 3 log a…

A: Use property of log

Q: 2. Which of the following is equivalent to the expression: 2+3 log2 (x + 1) – log (2x – 1)? 2(x+ 1)3…

A: The given expression is: 2+3log2(x+1)-log2(2x-1)

Q: a) log2 25 – log, 5 is the base 2 logarithm of ) 4 In x + In(x – 25) is the base e logarithm of

A:

Q: - 4 ) if f(x)= log3 3-2 (x3 – 4) (x3 – 2)In(3) 6x? %3D (..3 ..3

A:

Q: The following formulas give the populations (in 1000s) of four different cities, A, B, C, and D,…

A:

Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

A: As per the company guidelines, we are supposed to answer only first 3 subparts in case of multipart…

Q: Find the largest value of xx that satisfies: log5(x^2)−log5(x+3)=9 x=

A: For the solution follow the next step.

Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: * Suppose that In 2 = a In 3 = b. Use properties of logarithms to write the logarithm in terms of a…

A: Properties: