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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: x = log, 5 y= log, 2 log, 60. in terms of x and y. A) Given that and rewrite C) Solve for x:…

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Q: [x Clogser log) %3D 2 Then fin of d the value of I+ y

A: To determine:

Q: f(x)= log25 x +2 then f-1(x) = (x- 2).25x None of these e4(x-2) e25(x-2) e5(r-2)2

A: If logab=k , then it can be written that b=ak .

Q: 3. logi (x2+x)- log(x+1)=2 А. 2 О А о B О с O D B. 16 с. -8 D. - 16

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Q: Log6 x + log6(x+4) =2  There are two potential roots , A and B where   A is less than or equal to B…

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Q: a Solave the equation on the interval [o, 27) 2 cos 2x + v2=0 b) Use propeties of logarithms to…

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Q: 7. If log x + log 5 = log (x + 5), determine the value of x. А. О В. 1.25 С. 1.5 D. 2 8. If sin x…

A: I am attaching image so that you understand each and every step. I write sequence no. 9 instead of 3…

Q: 10. Find the equation of an exponential function that passes through the points (0, -1) and…

A: We will solve the exponential function and write the domain.

Q: How do I get to the value of f? 0.045 mm x103 m mm. 3.7 0.24 2.51 - 2.0 log (121.85 × 10’) / = -2.0…

A: Given is an equation in f   To Solve for f   First we graph the function of f and then find the…

Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: Y Let A(x) constant, is a solution of (x³ - x) dy dx +x Then, A is = = log x + C Where C is an…

A: Given yA(x)=log x+C, where C is an arbitrary constant, is a solution of (x3-x)dydx-(3x2-1)y=x5-2x3+x…

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A: " Since you have posted a question with multiple sub - parts, we will solve first three sub - parts…

Q: Solve for I: log, I + log,(z +1) = 3 There are two potential roots, A and B, where A < B. A = B =…

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Q: 7. Which of the equations are TRUE based on the exponential function 6* = 36 %3D x = 6 x = 2 x =…

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Q: For which value of x is the equation true? 150 - 5*-3 450 log (5) +3 log(3) log(3) +3 log (5) log(3)…

A: We will use property of logarithm to evaluate this problem.

Q: log(x – 2) V18 – 2x - 11. Find the domain of f(x) = (2, 9] O (2, 9] (2, 9) (2, 00) O (-00, 9)

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Q: log2(x2+8x+20)=3 Step 1:____________ step 2: _______________ Show your work:       the…

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Q: q24 A Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = -log (1 - V) = cirh-…

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Q: 1) (20 pts) If log, = X, express log, in terms of x 2) (40 pts) Simplify and find the value of 1 1 1…

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Q: Find the Domain of: f(x)= ln(9x−4)   Find the Domain of:  f(x)= log5(4x+6)   Find the Domain…

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Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

A: Given: logax=12, logay=15, logaz=18 To find the value of the logarithmic expressions and find how…

Q: 1 .The functions y = log e and y = are equal In x :Select one a. False b. True

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Q: 1.If f(x) = x² - 4x then f (x+h) - f(x)

A: Hello! thank you for the question but as per our honor code, we'll able to solve the first question…

Q: Solution to the equation Log(2iz + 1) = in is %3D O None of them Z = Ti z= 1 z = T O z= i

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Q: _29 What is y when x is -2 for f(x) = ()*? c) 4 d) -4 _30 What is the value of x in log2 - x? a) 1…

A: 29. f(x)=12x30. log2116=x

Q: log 16–4 log 3 log 3 The solution to the equation 3"+4 – 16 is r = True False

A: Use the following property of the logarithmic function to solve the given equation for x . log…

Q: Solve for x. 2 log4 (x) = 2 lis a solution. x= i is a isolution. : 0 :: 2 :: 4 :: 8 : 16 : -2 : -4 :…

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Q: Which of the equations are TRUE based on the exponential function. 2* = 16 Consider the following…

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Q: loge 3+ logs 2 = %3D Select one: Oa. 1 b. logs (3/2) O c. log 5

A: It is an important part of statistics. It is widely used.

Q: HOMEWORK | ax' Q1: - find y = 5cscx3 dx for Q2: - If y = 3sec3t and x = etan3t prove that: - dy y…

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Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: An expression is given as, logaaxy+logaxy2+logaxy-2log xlog a-alogax2, where a, x and y are real…

Q: log; x + log; (x – 4) = 2 There are two potential roots, A and B, where A< B. A = B = ... ..- Is A…

A: log3x+log3x-4=2 On simplification, we get ⇒log3xx-4=2     ∵logax+logay=logaxy⇒xx-4=32…

Q: 43) log 4 (x + 4) + log 4 (x - 2) = 2 A) (4} B) (4, -6} C) (5} D) {-6}

A: Given , log₄(x+4) + log₄(x-2) = 2 log₄ (x+4)(x-2) = 2 log₄(x²-2x+4x-8) = 2 log₄(x²+2x-8) = 2 logₙb=…

Q: log2(3x – 1) = 3 Select one: О а. х-10/3 O b. x=1/3 О с. х3 -3 O d. x=3

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Q: 1 f (x) = log₁+log Write down Df, the domain of f and then solve the equation f(x) = -log T.

A: The given function is fx=13log314+log3x To find: the domain of f(x) and solve the given equation.

Q: 35. log, 0.04

A: We will try to solve the problem by the property of logarithm.

Q: a) Using the laws of logarithms and exponentials solve the voltage equations across a battery 1.…

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

Q: f(x) = log25 X +2 then f(x) = (x- 2).25x None of these e4(x-2) e25(x-2) e5(x-2)2

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Q: Solve for all possible values of x. Use exact values. a) log x – log 3 = log 13 + log 2 b) log.(x +…

A: Solving the problem by obtaining the values of x and n.

Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: lc Given that 2 log2 (x + 15) – log2 r 6. %3D (a) Show that - 34.x + 225 %3D

A: From the properties of lograthmic function we can prove this

Q: 7. logaM^r = __________. 8. If logax= loga6, then x = __________. 9. logaMN= __________. 10. True…

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Q: Solve for r: log(z+ 4) – log(z+1) = 2 You may enter the exact value or round to 4 decimal places.…

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Q: Qu= O.4 log (E+0.44 435 %3D Qa - 0.249(log Ea)-O.I77 Q8= 0.227 (log E3)-0.839 Q3= rearange equations…

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Q: 32) log 4 (x + 3) + log 4 (х - 3) — 2 32) А) (5] B) {6} С) (5, -5) D) {-5}

A: I am solving Q32 as you highlighted.

Q: Q2) True or False. A) If f(x)-x? then f(x+2)-x-4x+4 B) The range of f(x)-cos3x is [-3,3). C) The…

A: Since we are given with multiple number of multi-parts and our guideline is solve first three parts…

Q: The solution(s) of log2(÷)+ log2(°) = 3 is ( are ) = Select one: O a V8 Ob V8 Oc.-V8 Od-V8, v8

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Q: 1. Prove S(t) = exp{-H(t)}, i.e., H(t) = -log{S(t)} %3D

A: Suppose an event doesn't occur by a certain time. The probability of the event not occurring by that…