8. Differentiate. Use the correct notation to label your answer.n Joot ai bonIRanom at ogts viinolov f(x) = log; (xe")

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

A:

Q: 5. Sketch the following functions. y = -log[(x-1)] +2 State the domain, range, and the ntercepts.…

A: A function .To Find:a) Sketch the graphb)Domainc) Ranged) Intercepte) Asymptote.

Q: 4. Write loga x + loga 2y-loga 4z as a single logarithm. Assume that all variables represent…

A: We see,     (1/3)logax = loga x1/3     (1/2)loga2y = loga (2y)1/2 = loga {21/2y1/2}    (1/6)loga4z =…

Q: Q5. Find z (1) 3 log, 2+log, 25-log, 20 = log (2) logą z + logs (2-3) = log, 10 (3) Inz-10.1285

A: As we know from the logarithmic properties: 1). logbxa=a·logbx  where x,b>0, b≠1 2).…

Q: 6. Evaluate using the Change of Base Theorem. Show your work in step one and the answer in step 2.…

A: Solution: The objective is to evaluate the given equation

Q: 10. fill in the missing valuesto make thė true equations . joa. Toga 7- 1o9g8= 109 a [ - 10g

A:

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

A:

Q: 19. Which of the following functions grows faster (if neither, write "NEITHER"). y = log³ x vs. y =…

A: Step 1:  Step 2: Step 3: Step 4:

Q: - 2 (410gx = log √ 2² ) + log ³√/x² Write as a single logarithm.

A:

Q: Q.3. Use the Laws of Logarithms to expand the exp

A: given expression is :-logax2yz4then   by using  laws of logrithms  to expand the expression

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

A:

Q: Differentiate. Use the correct notation to label your answer.gniho008 20 PaRo ai brs abuos Jool ai…

A: Given problem:- f(x) = log5(xex)  To find:- Derivative of f(x)

Q: Q12. If fla)= tann- 3 secu find f'(a) = find f'E) =

A: first derivative of f(x) is f'(x)= cos x+3sinx