9) f(x) = ex log6 X ex x(In 6) A) C) ex (121 X + log6 B) ex x(In 6) + log6 In D) ex 1 = (126 + 1086 x) log6 X x)

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: の log1ま210g1

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

Q: Question 41 Compute for x: x = [log(base c) a][log (base a) b][log (base b) c A b^(c/a) B C^(a/b)…

A: Change of base Rule : logba = logxalogxb.

Q: How do we take the derivative of (log(4x+3))2x?, why is it wrong to do :

A: we have given function  to find the derivative.

Q: Solve the following logarithmic equatio log_(2)(3x-7)+log_(2)(x-4)=3

A: To solve the logarithmic equation log2(3x-7)+log2(x-4)=3 Here we use the properties of log to find…

Q: d) log, (7-3x)=3 e) log, x-log, x+1=-2 f) log, (x+1)+log, (5x-11)=2

A:

Q: For what real value of x, if any, is log_((x-6))(x^(2))=2 ?

A:

Q: The image below is a graph of,

A:

Q: 1 prove that there is no branch of the logarithm defined on G =C- {0}

A:

Q: Expand log(sqrt x^5*y^-10)

A:

Q: Use compositions to show that f(x)=7^(x) and g(x)=log_(7)x are inverses of each other.

A: Two functions f & g are inverses to each other by composition is (f∘g)(x)=x and (g∘f)(x)=x Here…

Q: Q1) What is log((z^(4))/(5)) written in expanded form?

A: Given information : logz45

Q: Determine if each is correct or incorrect (a) In(2) + In(x) – In(y) = - ---Select--- ✓ (b) 104log(x)…

A:

Q: Exercises/ Find the damain and a function, Vange-ofcach @ fx) = x (2 flx) =

A:

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

A:

Q: Evaluate the expressions 3^log3(9) e^ln(√7) use law of logarithms to expand: log7(a√x)

A:

Q: For the exponential function f(x)=a^(x), a>0, a!=1, the domain is ____ and the range is _____.…

A: We have to  write the domain and range of the function f(x)=ax, a>0

Q: If log (x³ (x-2)) is expanded to Mlogx+ Mog(x-2, what 3 thhe sum of Mand N?

A:

Q: Let b be a real number. By considering properties of exponential functions, show that the points…

A: We know, for any real number b > 1,         b0 = 1      => logb(b0) = logb(1)       =>…

Q: f(x)=log_(5)(1-x^(2)) Write your answer as an interval Domain: (-1,1)

A: fx=log51-x2

Q: Prove that log b (a ^c)=c log b(a)

A:

Q: Draw and precisely write as a set, the 1-sublevel set of e^x and the 0-superlevel set of log(x),…

A:

Q: 6) prove that cost '2 = log (2 + √2²-1).

A: To prove that cosh-1(z) = log(z + sqrt(z2 - 1)), we can start by defining the hyperbolic cosine…

Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

A:

Q: Write the given expression as the sur log_(5)(x^(2)z^(8))

A: Explanation of the answer is as follows

Q: In 2 log2x

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

Q: In(x^2-2x-15) Expand the logarithm

A: By using logarithm formula, we expand the given logarithmic equation.

Q: Solve the reccurence relation a_n = sqrt (a(n-2) / a(n-1)) with initial conditions a_0 = 8, a_1 = 1…

A: We have to solve the recurrence relation a_n = sqrt (a(n-2) / a(n-1)) with initial conditions a_0 =…