log31 = logo(1- 4x) log(3x- 2) <2 %3D - In(1- 2x) +1 = g(x) ov ar uny= log,,3+ 5 %3D log x + log(x- 3)%3D 1 log 32 > 5 log, y +5< 20 xcfni (2)a f(x) = log-x 12 log(x + 1) + 7 log416 = 2 lag,2x s lag, 3x + 1 log x - 5 = 10 25 > log2 4 log x = r(x) %3D h(x) = logs 3+x

Q: Find the value of x 1) 3x < (12 - 3)x-2 2) log51/5 = x

A:

Q: (1) Determine the largest possible domain, intersection with axes and sign of the function f(x)…

A: To  Determine: The largest possible domain, intersection with axes and sign of the functionGiven: we…

Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A:

Q: 1. lim (2*+5 - 7) 6. lim (ln3x -- 8) - 7 X-5 x--3 2. lim (22x-1-3) 7. lim log2 (x² + 4x + 4) w X-3…

A: 1) Given:                  limx→52x+5-7 Plug in the value x = 5                 =25+5-7=210-7=1017…

Q: log (x-4) log (x-4) = 1 4 | -6, 6

A:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A:

Q: 2- 4 log 2 – log3 + log16 = x

A: We have to find the value of x

Q: logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8.…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

A:

Q: log2 (3x – 1) = 3 log,(x + 32) – log.(x - 3) = 2

A:

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: Example 2.32. Using Newton's iterative method, find the real root of x log10 x = 1.2 correct to five…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate…

Q: log3 (3x + 8) = log3 (x² + x)

A: We have the given expression as   log33x+8=log3x2+x   We know that logab=logbloga

Q: 6 - 2 log2(4x) = 0

A: Given,           6-2log24x=0

Q: ii) 2 log, (x)– log2 (3x – 4) = log, (x – 1) – 1

A: We make the coefficient 2, exponent inside the log.  And for 1 we replace it by log22 because…

Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

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)…

A:

Q: The solution for 4 - log₂(2-3x) = -1 is: A. x = -2 B. x = 2 C. x = -10 D. No solution

A:

Q: 7) log-2(-8) = x 8) logix = 5 2 9) 2* + 2* = : 10)3*+2 = 92x-3 2

A:

Q: f (x) = x* (Domain and Range) f (x) = log2x-1(x² – 3x – 10) (Domain only)

A:

Q: Write each expression as a single logarithm

A: Given: 3log53x+1-2log52x-1-log5x

Q: tan -1 (i – 3) = Log O -2 i-11 + i8 + i2kπ Log i-1|+i0+ i2kㅠ Log i-11-18+i2kㅠ | O 2 3 + 18-12kㅠ Log…

A:

Q: How do I solve this logarithmic equation?

A:

Q: Equation n(2-x) = 3 %3D b) log2(x) + log2(x - 7) = 3 c) log(x) – log(x - 1) = log(4x) %3D

A: ln(2-x) = 3(2-x) = e32-x =20.12-20.1 = x x = -18.1

Q: 6. 1- x Find the area of the region bounded by thex-axis, the y-axis, and the graph of y = 2- 2x +…

A:

Q: f (x) = In(x + 4) + 3 %3D f(2) 3 e2-6- 4 %3D f (x) = log(a- 2) - 8 %3D f (x) = 108+2 ----- f (x) =…

A: Some functions are given and the inverse of the functions are also given. We have to check that…

Q: Solve (a) x = log3 1/81 (b) log x 1/16= -2

A:

Q: 1) f(x) = Vx- 3+ V5-x 2) f(x) = /3 – log2 x2- (log2 x)² %3D %3D

A:

Q: f(x)=3x+3-18 and f-1(x)=log3(x+18)-3 Show that (f•f-1)(x)=x

A:

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: The graph of a logarithmic function is given. Match each graph to one of the following function…

Q: 1. log 7x 2. log,10a log 5(7)-log5(x) log 5(10)-log5(a) 3. logs 4. log;7x log 5(5)-log5(a) 5. log,x…

A: Use property of log

Q: Method 2: 51-3 = 10 => log, (5-) = log, 10 t-3 = log, 1C by(2) a) 4·73t-1 = 7 35t b) 7 – 4 = 6 c)…

A:

Q: log 2 x+ 2) + log 2x- 2) = 5

A:

Q: 4 -3 2 1- -8 -7 -6 -5 -4 4. 5 1- (-1,=1) 2 (0, –2) -3 |(1, –4) -4 -5 -6 -7 -8 f (x) =| log (x+

A: We can solve this using given information

Q: log 8x + log® x-2 - log® x-3 = 2 log° (x-1) - log³ (2x - 1) = 5

A: Given that log88x+log8(x-2)-log8(x-3)=2 Using the following properties, log…

Q: 3. 2 log x< log (2x-1)

A:

Q: loga (x- 7) +loga (x - 2) = loga (x - 4) + loga(x + 12) %3D

A: Given an equation of logarithmic functions in terms of 'x' variable with base 'a'.  We need to find…

Q: 43. Graph f(x) = 4x and g(x) = log4 x in the same rectangular coordinate system. 44. Graph f(x) =…

A: 43) Graph

Q: 37. Express log b = 16x²vz* in expanded form. %3D V(x-13 A. Log b16 log bx²y log bz-log b (x-1)² B.…

A: We have to apply logarithmic formula

Q: log(-x + V 2 log -x + x² + 1}• log{x + Vxn ,2 + V x +1

A: use property of logarithm.

Q: x- log, (x – 6) = log , 9 4) log, (x– 10) + log, 4 = 3 %3D g7 g, (x + 3) – log, x = 1 6) log, 8 +…

A:

Q: I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2…

A: We have to solve for x: log10(x+6)+log10(x-6)=2and  12loga(x+2)+12loga(x-2)=23loga27

Q: log base 3 (x+3)+log base 3 (x-3) = 3

A:

Q: d) ln 3 − ln x − ln(x + 5) = 0 (e)log4 (x + 2) − log4 (x − 1) = 1 (f) log2 (x − 1) − log2(x - 1) -…

A: We have to solve the following equation for x.

Q: Log(x + 4) - log 2= log (5x+1)

A:

Q: log (3x +4) = log (5x-7) %3D x=2 x=11 x=2/11 x=11/2

A:

Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: 1 3 log2 (x + 1) – 4 log2(x* + 8) +log2(x – 10) -

A: