3. The expression log (8m²n³)² is equivalent to which of the following? You may choose more than one answer. a. 2(log 8 + 2log m + 3 log n) b. 2 log 16 + 4 log m + 9 log n c. log 64 + 2 log m + 9 log n d. 2 log 8 + 4 log m + 6 log n

Q: 23. Given that p log, 5, q= log, 2 express the following in terms of p and/or q. 23) log , 250…

A: The solution of given problem is followed by

Q: (True/False) 3nỗ is O(n log n + 72n – 12n²).

A: We have to check whether the statement, "3n5 is Onlogn+72n-12n2" is true or false. Definition: On is…

Q: For each of the following statements indicate whether it is true or false and correct the false…

A: Given statement is  32nn+5n2+log2n=On3 To determine whether given statement is true or false.  For…

Q: We get the same answer if we do the following calculation using In in place of log. logs 15 = log 15…

A:

Q: 7. Find the exact value of the following expres: 1) logg 32 – log8 2 2) log 20 + log 50 | 3) log4…

A:

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: In the list below, select which of the following statements are false. O log(10a) + log(9b) =…

A: In the list below, to select which of the following statements are false.1 log10a+log9b=log90ab2…

Q: One of the following is False: elect one: P Log(z12) = Log(z1) + Log(z2).

A: Log(z1*z2) = Log(z1) + Log(z2) is not necessarily true for all complex z1,z2.

Q: If told that log 3 = 0.477 which of the following statements is correct  A. Log 27 = 0477 (0.477)…

A:

Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: As per guidelines we can solve only one question at a time, so the first question can be solved as…

Q: Which of the following is equivalent to the statement4" = x O a) log, 4 = y O b) log, 4 = x c) log4…

A: Exponential change to logarithm

Q: 17. Expand the expression Vx+1(x² - 4) |ninon se log2 183 (r°+27)* -3 081 2

A: Given expression

Q: [2.5 b. Let A = | 17 [8 In1 + log100] C = and D= Lesor and D = Lcsc90° Find the following: If B²…

A:

Q: One of the following is False: Select one: O Log(21z2) = Log(z1) + Log(z2). %3D Oi elogz = z if z #…

A: Log(z1z2) = Log(z1) + Log(z2) + 2nπi n = 0, 1, -1

Q: 1. The solution to the cquation 53x = correct order on the right of the question. 4x+1 is given…

A: Re arranging steps in correct order,..

Q: find the value of the logarithmswithout using a calculator.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: One of the following is False: Select one: O Log(z12) = Log(z1) + Log(z2). Oi elogz = z if z # 0.…

A: Solution:

Q: Match the equivalent representations. n° = 5 a. log, (n) n° = 9 b. log, (5) = 9 %3D 5° = n c. log,…

A:

Q: Which of the following statements is equivalent to the statement: 16x=65536? log65536(x)=16…

A: Given

Q: 8. Find the error in the following argument: 3< 4 1 3 log < 4 log5 3 (4)' log < log 1 1 log < log 16…

A: As to find the error in the given problem, we have to check all the steps and then find that step…

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

A: This is very complicated problem.We have to think deeply to solve this problem.Therefore I can solve…

Q: 6. / 19 5. Given that log 2 = a and that log 3 = b, determine an expression for the following in…

A:

Q: 7. Determine the value for each of the following logarithms. Each of these will have non-integer,…

A: PROPERTIES OF LOGRITHMS( i ) logab = 1logba  ;  b&gt;0 ; a&gt;0 and a,b ≠1( ii ) log (mn) = loga(m)…

Q: Which of the following is equivalent to 4log3(6)+2log3(x)? O A. log3(6*x²) O B. log3(6) x log3(4) ×…

A:

Q: If told the log 3=which of the follow is correct Log 27=0.477+0.477 Log 27=0.477x0.477x0.477 Log…

A: log(xn ) =n log(x).

Q: Find the exact value of the expression. (a) 10log(81) (b) In(e4) (c) log3(y 27) (d) log2(40) -…

A:

Q: O Give a big-O estimate for f(n) = 3n log(n!) + (n²+ 3) logn.

A: Big O notation is a mathematical notation that describes the limiting behavior of a function when…

Q: If told that log 3 =0.477 which of the following statements is correct Select one: O a. log 27 =…

A:

Q: 729 Given that log, 2+ log, 3 =1, express log, 1024 2187 and log, 2048 (i) in terms of log, 2 only.…

A:

Q: In the list below, select which of the following statements are true. 5u O log 5u - log 4v = log 4v…

A:

Q: 2) Which expression would be the calculator ready form for 3" =17 ? O log3 (17) +1 = = O log17(3) =…

A: Consider the given equation 3x-1=17. Take logarithm to base 3 on both sides of the given equation.…

Q: C. Given that log, 2 = 0.693, log, 3 1.099, and log, 5 1.609, find each of the following, if…

A: Given that,  logb2≈0.693, logb3≈1.099, logb5≈1.609 We need to find the value of each of the below…

Q: Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y2) show your work…

A: Using logaritms formulae loga+logb=logabloga2=2logaloga-logb=logab We have given log3-2log2x+3logy2…

Q: 3 Given that xand y are real numbers, x>0, if 4"-3x' 16, log, x=, r+1 y find the value of x

A: Given: x and y are two real numbers, x&gt;0 4x-3xy=16 log2x=x+1y We can write, 4x=16 +3xy⇒2x2=16…

Q: 10. Use the definition of a logarithm to find the exact solution for 4log(2n)–7=-11

A: Given, 4log2n-7=-11 To find the exact solution of above expression.

Q: Which of the following is FALSE? loggn® is e(log,n) OA. 4" is 0(8") OB. 2" is n(n2) OC. nlog n is…

A: Given log8n8 is θlog2n - True as log8n8=83log2n so log8n8 is bounded both above and below by log2n…

Q: Prove or Disprove: n 8 + 3 n 7.9 log n − n4  = Θ( n 8 ).

A:

Q: fi (n) = 4log2 n RÉPONSE... f2(n) = 32 + 3n RÉPONSE... f3(n) nº log, n nỗ RÉPONSE... fA(n) = 2" +…

A: See below.

Q: Show using simple (High School) algebra that log N! is in 0(N log N). Hint: There exists a two…

A: We have to solve given problem:

Q: 1. Evaluate the following. Final answer is in exact form, no decimals. 1 log, 16 – log, 32 log7 a)…

A:

Q: Une of the following is False: Select one: o Log(z12) = Log(z1) + Log(z2). %3D O dogz = z if z # 0.…

A: Since, Log(z1z2) = Log(z1) + Log(z2) + 2Nπifor N equal to one of −1, 0, 1.

Q: 3a'b² Va Which of the following is equivalent to In none of the choices 6 log 3ab log a (1+ log, a+2…

A:

Q: 16 of 25 Condense to a single logarithm. 3 log 8 (m) – 2log 8(4n) – 3log 8 (5k) Vm log (4n)² (5k)³ 3…

A:

Q: 4. Compute the following expressions by hand. Simplify as much as possible. (a) 27 log3(16) (b)…

A:

Q: 5. Which of the following expressions is equivalent to log(3) - 2 log(2x) + 3 log(y) 3y5 4x2 3y6 log…

A: log3-2 log2x+3 logy2

Q: (a) Suppose that 2" = 5" where m,n E No. Prove that m = n = 0. (b) Prove or disprove: log, 5 EQ…

A: Exponential equation

Q: A student is trying to determine the restrictions on log(x 2-16)+log(x+6)=19. The student states…

A: Given function is: log(x2-16)+log(x+6)=19 The restriction defined on the variable by the student is…