Find the value of c, and n such that: (a) 2n3 + 5n2 is O(n3) (b) 2n log n + 5n2 is Ω(n2)

Q: Does f(n) Is an element of 2^O(log2(n)) mean that f(n) is an element of O(n)? Why or why not?

A: Big -oh notation : Let us consider two function f  and g  on naturak numbers then f(n)=O(g(n)), if…

Q: If m = log2n and 2m + 1 = log2 16n, algebraically determine the values of m and n.

A:

Q: 3r7 log 2 z3

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: (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: Solve the following equations a) 3(2***)-1= 8 b) logg(x +3) =1- log,(x+ 4) c) 7*-4 +3 = 9 d) In(x–…

A:

Q: (a) Solve the following: (i)  2x-6=1/8              (ii) log5 (x + 3) = 1 - log5 (x -1)

A: We will solve the equation for x.  (i) 2x-6=18(ii) log5(x+3)=1-log5(x-1)

Q: Find the exact solution for e2x−2ex−48=0.   If there is no solution, enter NA.   Enclose…

A: Given- e2x−2ex−48=0 we have to find the exact solution for the give equation.

Q: Find the exact solution for e2x бе — 27 — 0. If there is no solution, enter NA. Enclose arguments of…

A:

Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

A:

Q: Given that log 2 = x, log 3 = y and        log 7= z, express the following expression in terms of x,…

A: We will write 0.3 as fraction. That is 3/10

Q: (True/False) n² log n is O(3n² + 1).

A: We have to check whether the statement, "n2logn is O3n2+1" is true or false. Definition: On is…

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2x – 12 = 0 (e)…

A: Answer

Q: i) log, (5x + 4) – log,(4x) = 2. ii) 9e* + 4e-x – 12 = 0.

A:

Q: The solution of the equation Log(z² – 1) = in is| 1,–1. О V2i, – V2i. V2, - V2. O None of them O…

A:

Q: Find the exact solution for e2x−4ex−32=0.   If there is no solution, enter NA.   Enclose…

A: Please follow the next step.

Q: 2y3 a, log2 y = b, and log, z= c, which of the following is equal to log, Given that log, x = O 2b –…

A:

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: DO THIS TYPEWRITTEN. PLEASE SKIP IF YOU ALREADY ANSWERED. I WILL UPVOTE

A:

Q: The solution(s) of log3(-x) + log3(-3x – 6) = x - log3(3")+2 is (are) z = Select one: Оа-3,1 Ob. 3…

A:

Q: Given that y = log, 11 and 64 %3D x = log 2, what is logp expressed in terms of x and y? a. 2х-бу b.…

A: We are given that y=logb11 and x=logb2. We need to find what is logb64121 in terms of x and y. Now,…

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+5) = 0 () log,(x – 1) – log,(x+3) =…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: To solve the equation: log3 (9x + 5) + log3(x + 1) = 5 requires solving which of the following…

A: we have to find the equation from given equation. the solution is following.

Q: -9e6x-3 _ 4 = -67 승(log (7) - 3) x = (s+ (2) 띠)윽 = : = } (log (7) + 3) There are no solutions. x = 6…

A: Use e^x=c  =>x=logc this formula to solve given expression

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Find the solution set of each of the following six equations.  1.) x^2e^2x+2xe^2x=8e^2x 2.)…

A:

Q: The solution of the inequality log(x- 4) > log(10z - 10) is: O z 3.33 OR 0.67 Oa<3.33

A: If loga x&gt; loga y, then x&gt;y for a&gt;1 and x&lt;y for 0&lt;a&lt;1 . Usually log 10 x is…

Q: Solve first order PDEs py=2yx+log q

A:

Q: I need some help on ii for #1 please!

A:

Q: 3. If r= , then logr can be represented by AB 1) log A+ log B- log C 2) 3(logA? + log B - log C) 3)…

A:

Q: step by step please  f(x)=a(b)x  the x at the end of that formula is an exponent of b , i believe

A: Substitute given two points to solve for a and b.

Q: The solution of the equation Log(÷z4 + 2) = i27 is %3D 4 None of them O 1,-1, i,-i. • -1-i,-1+ i. |…

A:

Q: If log35 = 3y, log34 = 2x, and log,m? = 6, then log3(10C %3D %3D A. 3y+2x+ 6 В. бу + 2х + 12 С. бу +…

A:

Q: In particular, the law says that the time, T, it takes to make a choice can be modeled by the…

A: Given T = b.log2(n+1)where n = number of options from which to choose,b = constant number T = time

Q: 8.1 Solve for x: log (x + 3) + logr = 1. 8.2 Show that the above equation will have an irrational…

A: 8.1) Given that, logx+3+logx=1

Q: Find the solution set of each of the following six equations.  a.) x^2e^2x+2xe^2x=8e^2x

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Q3. (i) Solve for x: a. 32x = 22x-4 b. Vlog2(x – 8) + log2(x + 8) = 64 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: a) If log:3 b) Solve for x if log,o(8x+1) – log10(2x + 1) = log1o(x+2) = a and log105 = b, write…

A: (a) Here given as log103=a, log105=b log1075=log103×52=log103+log1052=log103+2log105=a+2b (b)…

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: Solve algebraically and approximate solutions to three decimal places. a. In(x-3) = 0.924 b. e103x…

A: (a) Solve the equation ln(x-3)=0.924 as follows. lnx-3=0.924elnx-3=e0.924x-3=e0.924x=e0.924+3≈5.519…

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81-x = 4x+2 (c) 22x + 2x – 12 = 0 (d) In 3 – In x –…

A:

Q: Find a formula for the exponential function of the form A=f(t)=IB^t passing through the points (2.5,…

A: Just satisfy the given both points in the function and find the unknown.

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

A:

Q: The domain of f(x)= log4(1 – I2) is Select one: O a. ( -1,1) O b[ =1,1] O c. (0, 00) O d. [1, 00)

A: In the question it is asked to calculate the domain of f(x)=log4(1-x2).

Q: (a) log3(4x – 7) = 2 (b) e2x = 5

A: on solving this we get

Q: The solution of log, (7+ x) = 3 log, 4 is O x = -57 O 1 = 71 x = 57 O T = -3 O 1 = 12

A:

Q: The solution(s) of the equation 22x – 2* = 12 is (are): A) x = log2(4) and x = - log2(3). B) x =…

A:

Q: 17) log 5 625x8y6 z3

A: