X912 65. f dx is equal to - √1+x" (A) = log(x² + √√x+1)+c 7/2 (C) 2√1+x" +c HT (B) log +C x" 11/2 D²-log(x² + √1+x¹) + c +1

Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

A:

Q: log(2-1)(3+ j√3)

A:

Q: How do I expand this log expression? xz/5y x times the square root z over 5y

A: We have to expand the log expression:

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: Compute the following: (a) (1+ V3 i)12 write answer in the form x + iy. (b) e³+ri write the answer…

A:

Q: a) x1+2log x = 100.x log x

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

Q: Evaluate (a) log(2-j3)(6(sin(√ī})² (b) 11/2

A: Given:  log2-j36sinj2 jjj2 To find: We have to evaluate the given expressions.

Q: What is the vertical asymptote of the function f (x)= log(x+4) + 2

A:

Q: Enlarged Graph = -5 -4 -3 -2 1 10 9 8 7 6 5 4 3 2 -1 -2 -3 -4 -5 2 [X] 3

A: we need to write down the domain.

Q: (9) Express the domain of f(x) = log(2x - 4) in interval notation. A (0,2) B (-2,00) C (2,00) D…

A:

Q: (c) Simplify the following: 7m+2 x 3т-1 (i) 212m (ii) log12 3 + log, 12 ()- (d) Solve for x in the…

A: Note: As per company policy we are supposed to solve only 1 of the question. So, kindly repost the…

Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

A: We  have to calculate this equation by means of logarithm.Note: According to the guidelines we are…

Q: 22. Find expressions for f(g(x)) and g(f(x)), and state their domains a) f(x)=√√√x;g(x)=x²-4 f(g(x))…

A: Solution :- The domain of a function is the set of input or argument values for which the function…

Q: 11. Evaluate log2 45 a) 4 b) 5 c) 7 d) 10

A: According to guidelines we can solve only first question since these are independent question.please…

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: The logarithmic equation log(x+3) -2= -log(x-2) has Select one: a. an extraneous root of x = -6 b.…

A:

Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

A:

Q: Solve for x: x = | X = 7 10 2 (log √108 - 5log (- ) + 3 log6 9+ logo 16384) Note: Your answer must…

A:

Q: Evaluate / x-4 x+4 O x+ 0.log(x – 4) + C O None O x+4.log(x + 4) + C O x+ 8.log(x – 4) + C

A: Using indefinite integral,

Q: Q4B- Write user define- function program to find 3 1 ((x - 1) 1 ((x-1)) (x - 1) (x + 1) 3(x+1) + - +…

A: Here we write a python code to define the user define function.

Q: Evaluate: (a) log6 9+log 6 4    (b) 1n(1/ √e)

A: a) log69+log64b) ln1e

Q: Evaluate log2(x²) dx In(2) -log2(x²) + C 4 In(2) log2(x²) + C n(2) (log.(r2))2 (log. (x2))2 1r 4…

A:

Q: Pls help ASAP

A:

Q: What is the domain for the exponential function f(x) = -5log(x-2)? OD: (xe R) OD: (xe R|x>-2) OD:…

A: Here we have to find the domain of the given function.

Q: . [T6] Simplify the following expression in terms of x, showing all your work each step: 1 x 1z log2…

A:

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: Solve for x in each of the following. Make sure to check for extraneous solutions! a) log,(x - 4) =…

A: Given a log4x-4= log43x-1b log32+ log3x-5=4c log6x2-6= log6x

Q: Solve for x. Show exact values. State restrictions on the variable (if applicable). a) 216x+1 = 6x-4

A: Introduction: Indices describe the basic properties of algebraic expressions. It deals with the base…

Q: log(2-j)(3 + jv3)

A: Solve it.

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

A:

Q: A) fex) = (x + log (log (3²+x²)) ; f(x)= O(³√x) B) f(x)= lg (2²-x²); f(x) € (x) A. Only A is TRUE B.…

A: