Solve for all possible values of x. Use exact values. a) log x – log 3 = log 13 + log 2 b) log.(x + 3) + log6(x – 2) = 2 c) log(n² – 4) = log(-6n – 36)

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

A: Topic:- algebra

Q: snip

A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: H-w/ prove That: の legiキ2109i @ log (i+i)=2 loy (iti) logそキ2 \ogz }2こメう

A: (1)

Q: Find the exact solution for e2x−2ex−35=0. If there is no solution, enter NA.   If there is no…

A: Given  equation e2x - 2ex  - 35 = 0

Q: ) f(x) Log2 x ,x= 32 b) F (x) = Log3 x , x=1 c) f(x) = Log 4 X, x= 2 d) F(x) = Log10 x, x= 1/100 e…

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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…

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Q: 3. Solve the equation for x a) 45-4x = 1 86-2x b) log2 (2x+4)= 4 c) enx = 11

A: in each part we need to solve the equation for x

Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

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Q: 5.-find the exponential Ronction fa)= ab? tha satisfies the condition f(0) = -4 and f(-3) = - 500

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Q: 14. Use iteration to solve for k: 4k 57.10066935 ... log (2k)

A: Here we will assume the initial value of the k and by following subsequent iteration we will find…

Q: Solve 3"-1 – 2 log2(3) +1 log3 (2) +1 O log3 (2) – 1 Find the solutions to log (x + 3) + log (x – 2)…

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

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Q: 17. Find the root of 3x – e-x = 0.

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Q: Solve the logarithmic equation for x

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: 3. Solve the equation for x a) 45-4x 1 = 86-2x b) log2 (2x+4)=4 c) enx=11

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Q: 1.) Find the value of x from (2 + V4x)(2x- V2x²) 3x-2 +2 10-x 2.) Solve for the linear system: x-3…

A: Given the linear system

Q: #42

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Q: The solution of 29 + 12 log3 (7 – 5x ) = 65 %3D -

A: 29+12log3(7-5x)=65

Q: Solve the following: (i)  2x-6=1/8              (ii) log5 (x + 3) = 1 - log5 (x -x1)

A: Use the basic concept of law of indices and Logarithm.

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

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

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Q: Find the exact solution for e2-6e* If there is no solution, enter NA. 160. Enclose arguments of…

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Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: H.a/ prove that O cos2: log (2 ite) log (27f2-1)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: 21. Solve for x and check the solutions 1) log3 x + log3(x – 8) = 2 2) log4(4x + 5) = 0 3) log(x –…

A: 21. 1) Given  Logarithmic equation

Q: PRE-CALCULUS WITH TRIGONOMETRY 170 11. Use the definition of Logs to solve for x: æ log2 (64) = 2 O…

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Q: 9.5. Show that (a). Log(1+ i)? = 2L0((1 + i) but (b). Log(-1+i)² + 2Log(-1+ i). %3D

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Q: 4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) =…

A: The logarithmic properties; 1). logbmp=plogbm 2). logbm·n=logbm+logbn 3). logbmn=logbm-logbn 4). If…

Q: Quèstion 2 log(2 – 3i) = 2.56 +0.98 i + i 2kt 2.56 --0.98 i + 2k TI 2.56 -0.98 i +i 2k TI 2 2.56…

A: We need to find the solution to log(2-3i). Options are given .We need to choice the correct answer.

Q: 4. Prove the formula below using mathematical induction log 2k u + zu log 2 k=1

A: Given: Formula: ∑k=1n log2k=n2+n2log2

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

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Q: Solve for A: AR+AT=E

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Q: x-1 X-n x+n If y = x log show that y, =(- 1)" - 2 (n – 2) ! %3D x+1 (x - 1)" (x + 1)"

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

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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: 4. Solve for x : log, (x – 3x – 88) –log, (x–11) =5 Ans 4 x = %3D

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Q: T + log, (V2" . 2™ sin 24-1 (-1)5 + (–1)27 (-1)766 3 25 – 24 – 23 + log, (log3(915) + 71+(-1)17 + 1)…

A: Find the values of each terms one by one.  Since loga ar=r, sinπ+log2 2π·2π25-24-23=sinπ+log2 2π8…

Q: Let ln 2=a , ln 3=b, and ln 5=c. Express the following logorithms in terms of a,b,c.  a. ln 4000=…

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Q: (a) Solve the following: -1 (i) 2*-6 8 (ii) log, (x+3) = 1– log, (x-1)

A: An equation is a formula that provides the equality of two expressions, by connecting them with the…

Q: 20) Solve for x: log(3x + 7) + log(r – 2) = 1 (a) ! (b) 3, - (c) 2 (d) 2, - (c) None of these

A: Given that      log(3x+7)+log(x-2) = 1 Here we have to solve for x .

Q: Solve the equation and choose the exact solution. -3. 44z+10 - 8 = -51 43 - 10+log2 3 = x 4 O= log,…

A: Given equation: -3·44x+10-8=-51 To determine: The vlaue of x.

Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

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Q: T + log, (V27 - 2") sin 24-1 + log, (log; (915) + п1+(-1)17 + 1) + (-1)5 + (-1)27 (-1)766 25 – 24 –…

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Q: The principal value of tan- (2i) is :Select one 1 +i-log, 3 .a 1 log, 3+ i- .b 2 2 c. None of these…

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