PROBLEM 7: Solve the following logarithmic equation for the variable t. log, t = 3 – log, (t – 2) Be sure to check ALL solutions in the original equation.

Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

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Q: I If the equation ellx- 21+ 6 - 2 has four solutions, then b lies in (a) (log 2, – log 2) (b) (log 2…

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Q: Question 2 The range of the function y = log7x is O a R Ob-o, 7) Oc (0. ) Od (7. 00)

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Q: Solve the following equation: 7(log; (t)) = log; (t21) Write your answers as decimals rounded to…

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Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

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Q: Question 2. Solve the following equation: log3 x + log3 (x – 2) = 1.

A: The given equation, log3x+log3(x-2)=1

Q: Question 4 a. Solve the following equations for the unknown variable: i. log, (2x+1)=-1 ii. 5* = 101…

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Q: Problem C Determine the numerical value of the following expression without the use of a calculator:…

A: Given,

Q: Problem Eight: Solve the following equations (c) 5(e*+2) – 6) = (d) log(3x) + log 3 = 2

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Q: Problem Set: B (1) Solve the following: 1 (i) 2*/2-16 = 32 (ii) log, (x- 2)+ log, (x) =1

A: Solution 1: Given that 2x2-16=132 we can write it as 2x2-16=125⇒2x2-16=2-5         ∵1am=a-m Since…

Q: QUESTION 4 Given the equation: log,(x+5) + log;(x– 1) = 4, solving for x gives the value(s): O-7 and…

A: topic - solution of logarithmic functions answer is 3 only

Q: QUESTION 4 Suppose the functions f, g, h and l are defined as follows: f (x) 4x2 – 5x + 1 9 (x) V2-…

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

Q: Question 8 Solve the equation log2(x + 3) = log2(6 – x) + 3

A: Solve the equation log2x+3=log26-x+3 . Subtract log26-x from both sides .…

Q: Question 4 а. Solve the following equations for the unknown variable: i. log,o (2x +1)=-1 ii. 5'…

A: According to guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: Task 3 a) Using the laws of logarithms and exponentials solve the voltage equations across a battery…

A: a 1. x0.26-20.6=10cosπ3sinπ6+sinπ3cosπ6cotπ3      ⇒ x0.26-20.6=1013⇒x1.2=20.6+5.7735=26.3735…

Q: PART-B Answer all the following questions, and write the answers on the papers and upload as a…

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Q: Question 1 Give an integer a E Z which makes the following equality true for y = a". 7 log.ry (y) 8…

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Q: Problem Eight: Solve the following equation (a) e* 14 (b) 7e(3x-1)-2 1 (c) 5(e**2)-6) = 10 (d)…

A: see the solution below.

Q: Question 16 Solve for æ: log(a) + log(r + 2) = 3 %3D You may enter the exact value or round to 4…

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Q: Question 1 Evalunte The following using logarit A7.6X0-792 O-0458 O (6.327) X |:23. 4.16X0:0845

A: By Logarithm rule and properties we know that, 1. Product Rule: logb(M.N) =logbM +logbN 2. Quotient…

Q: Question 8 Solve the equation for x: log30 x + log30 (x – 1) = 1. If a solution doesnt work, enter…

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Q: Question 17 Solve for r: log, r + log,(r + 2) = 4

A: Given:          log4x+log4x+2=4  Apply log rules:       logbP+logbQ=logbPQ       log4xx+2=4…

Q: Question 5 On the Richter scale, the magnitude, M, of an earthquake is given by M = log, where E is…

A: Topic :- Algebra

Q: Problem Set: B (1) Solve the following: 1 (i) 2/2-16 32 (ii) log, (x- 2)+ log,(x) = 1 %3D

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Q: > Question 22 if y = log3 x find y' xina 01 2/xina

A: To differentiate..

Q: - If you know that log4 x = 2 and log5 x(2y – 1) = 1 calculator 7x + 10y – 1 Between which of the…

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Q: Problem Set: B (1) Solve the following: 1 (i) 2/2-16 32 (ii) log,(x- 2)+log, (x) =1

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Q: Question 8 The magnitude, M, of an earthquake is measured using the Richter scale. The scale uses a…

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Q: Question 3. To solve the equation: log,(3x + 5) + log2(x + 2) = 3 requires solving which of the…

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Q: Question 3 (i) Given that log, x+2log, y = 4 show that xy =16. Hence solve for x and y the…

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Q: QUESTION 13 Solve for x in the logarithmic equation log 4x+ 2) - log s(x- 1) = 1 O (2.00) O (2.05) O…

A: As per our guidelines , we can help you in solving only one problem. Rest of the problems, you have…

Q: Question 4 Solve Log 0X=3 oX =30 o X=1,000 0X=10,000 X3

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Q: Problem: 4 a. Solve loga(x – 1) – loga (x + 6) = loga(x – 2) – loga(x + 3). b. Solve (e*)*.e*² = e12…

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Q: Question 3 tan -1 (i – 3) = Log i-1- i0 + i2kn 2 3 i 2 Log i-1+ i0 + i2kt 3 O -2 2 Los i-1+ i0 +…

A: Simplify the expression: tan-1i-3

Q: tan 2x y = 1-cot 2x

A: Given y= tan(2x)/(1-cot 2x).

Q: Question 5 1 pts – 2x+5 To find 4 (In(-2a+5 we should use the logarithmic property. That is to…

A: We use the logarithmic property log(m/n)=logm-logn

Q: kora (* y") -C 3. 12 log3

A: Given,

Q: Problems 9-12 Solve the logarithmic equation usir exact solution and the approximate solution, round…

A: Taking exponential both sides

Q: Question 5 What must a be equal to such that the following equation is true? 1 a log10(3) log3 (100)…

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Q: Question 6 (a) A survey is carried out on the population of foxes on an island. The number of foxes,…

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Q: Problem Eight: Solve the following equations (e) Log, x + log, x = 3 (f) In(x² – 8) = 0

A: Use the property of logarithm to solve this problem.

Q: Problem 7. Suppose X > 1. Prove that Σ E A(n) =E log l.

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Q: 4. Solve the following equation: a. e* + e-* = 2 b. 2 log () – 3 = log(10x²y) %3D

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Q: Question 19 If log3 (x – 3) – log: (x + 1) is expressed in terms of a logarithm with base 9, then it…

A: We use logarithmic properties

Q: Problem 10. Solve the equation for x: log56 x + log5 (x - 1) = 1.

A: Given equation:                                log56(x)+log56(x-1)=1Solve for x

Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

A: As per the company guidelines, we are supposed to answer only first 3 subparts in case of multipart…

Q: 4. Find the value of x in each of the following logarithmic equations. a) log5 x = 3 b) log, 169 = 2

A: Formula used

Q: Question 7 1. Rewriting the equation 6 94x+ 8 42 as an equivalent logarithmic equation we get %3D 4x…

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Q: Problem 4. Find the integer that is represented by the following logarithmic expression. log, 48 –…

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Q: Problem 5. Condense the expression to the logarithm of a single quantity. log; t + 3 log;(1 – t) –…

A: We are given: 14(log7t+3 log7(1-t))-log7(7+t) We need to condense this into a single quantity. This…