(i) Find the solution set of the following equations: 2log, x- 3log, y =7 and log, x-21log, y = 4

Q: log, (2a2 + 4) – log,(3x + 3) = 0 Answer: x = Submit Answer attempt 1 out of 2/ problem

A:

Q: Solve for all values of x log, (r + 3r + 18) 2 Answer:

A: log6x2+3x+18=2

Q: Solve the equation accurate to three decimal places.

A: Exponential functions and logarithmic functions are considered to be the inverses of each other as…

Q: The magnitude, R, on the Richter scale of an earthquake of intensity I is given by R = log I/I0 ,…

A: An earthquake is 10,000 times as intense as a zero-level quake, then we have to find the magnitude R…

Q: Solve the following equations a) 3(2***)-1= 8 b) logg(x +3) =1- log,(x+ 4) c) 7*-4 +3 = 9 d) In(x–…

A:

Q: Solve for the exact value of x. log, (3x) + 2 log, (6) = 4

A:

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: Solve for x: log, (x+1)+ log,(x-1) = log, 8 a)x=4 4 b) x= +3 c)r= 3 d) No solution

A: Using the properties of the logarithmic functions, it can be written that : loga b+loga c=logab·c…

Q: IF THE ANSWER IS CORRECT! y =f(x)=log,(x-3)

A:

Q: Find the solution for x: log (Vz+1+1) log V- 40 -3

A:

Q: log, +4(9x + 16) = 2

A: Given : logx+4(9x+16)=2 First we write log equation as an exponential equation . logbx=aba=x

Q: Solve for x.    (a) x2 − x = log5 25     (b) 3x + 5 = log2 64

A: Given:x2-x=log525 & 3x+5=log264To determine:Solution of given equations

Q: 4. Solve the following equations. Round answers to two decimal places. vv & vrrv a) log, (2x – 1) –…

A:

Q: y = a log, (x - h)+k a = 1 -10 h = 1 -10 b = 2 -10 k = 1 -10

A:

Q: Solve the following simultaneous equations 6 log3 × + 6 log27 y = 7 4 logo x + 4 log., y = 9

A:

Q: –(7 + 3) log2x - loge(6+1) = lo9:(5+>) %3D

A:

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

A:

Q: Given the following equations, find x log(x – 3) = 3 b. In(x - 2) = 5 – In(2x + 1) c. log2 ) = 3 +…

A:

Q: Solve the following equations (a) ez = 2i (b) log (z2 -1) = i/2

A: We have to solve the given  complex equations .

Q: Find the values b >1 for which the equatiom log, r = xmb has a unique solution.

A:

Q: Solve for x. log, (x+7)=3– log, (x+ 5) If there is more than one solution, separate them with…

A: To find the value of x for the expression, log2x+7=3-log2x+5

Q: Express the equation in logarithmic form. (a) ex = 6 (b) e2 = y

A:

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

A:

Q: Solve the equation accurate to three decimal places.

A: Solve the equation accurate to three decimal places.

Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

A:

Q: Given that 2 log2(r + 15) – log2 r = 6 (a) Show that x² – 34x + 225 = 0 (b) Hence or otherwise,…

A:

Q: a) Find the solution set of the following equations: 2log, x-3 log, y = 7 and log, x–2log, y = 4

A: Log equations

Q: (c) Solve for x given 1≤log, (x-6) ≤3.

A:

Q: Solve the equation exactly for x. log (6x + 31) · log(25x²) = 0 Enter your answers in increasing…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Solve the following equations for x. Answers must be entered in exact form. (a) If log, 4 = 2, then…

A: We need to solve the given logarithm equations for x. Here we will use the following formulas-…

Q: a) Solve the following equations: i) 3* . 42r+1 = 6*+2. ii) 2 log,(VT) – log,(6x – 1) = 0.

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

Q: 16. Solve the equation n 2 AE log, Vx+4 – log, 2x-1=- 4

A:

Q: Express the equation in logarithmic form. (a) ex+2 = 0.3 (b) e0.2x = t

A:

Q: Solve for x for each of the following logarithms. Give EXACT answers. 42x-1 = 3**2 log Vx -48x =1 a.…

A:

Q: Given that the equation of the RED line: y = log,(x) 15) what is the equation of the BLUE dotted…

A:

Q: Solve the following equations i st- 7 . log. () - 2

A: We are authorized to solve only 3 subpart of a question, please repost remaining questions Logarithm

Q: )Solve for y in terms of r. log, y = log, r – log, 10 + log, 6

A: Given, logby = logbx - logb10 + logb6 Solving the above equation using the properties of logarithm

Q: Solve the variable in the following equations. 1. x =-log0.00005 2. x =10^-3 3. x =4+log(1.05)…

A:

Q: Express the equation in logarithmic form. (a) ex = 7 (b) e4 = y

A: Take log on both sides of equation, .

Q: Solve the following equations: a.) 25x-2=6254x b.) 274x=9x+1 c.) log2(x+1)=1 d.) log5(x - 4)=0

A: This can be done as follows:

Q: For the following questions, solve for x. (a) 8e5x-3 – 4 = 6 (b) log,(12 – x) = 2 -

A:

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: The magnitude, M, of an earthquake, is represented by the equation M=2/  3 log (E/ E 0) where E is…

A: Introduction:Denote the magnitude of an earthquake as M.Denote the amount of energy released by the…

Q: Give all solutions to the following equations: (a) ¹ - 8x² +15=0 2 (b) x² +1 (c) log₂ (x) + log₂…

A:

Q: y = log,(x + 3)

A:

Q: Solve the following logarithmic equation: K•3 B-5 log2(x – K – B – 3) = log2 (x + K + B – 12) %3D

A:

Q: b) Solve the following equations for the variable. i) 35+2x = 27 ii)2 log = 4 x-3

A:

Q: Solve the following equations log(x + 6) – log(x – 3) = 1 10* = 12

A: logx+6-logx-3=1

Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

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