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 O 2

Q: log3 3 + log27 3x = -4/3 of the roots? %3D Sum

A: We have to find sum of roots: Concept:

Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

A:

Q: Evaluate / dx (x+2)²–49 O None to log() x-5 x+3 log() -5 x+7 ts log() x-5 x+9

A: We have to evaluate: ∫dxx+22-49

Q: The domain of definition of Rx) = /log (log x)- log (4- log x)- log 3 is %3D (b) [10°, 10*] (d)…

A:

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: Which graph represents ƒ(x) = log₂ x − 1? - f(x) 5 4 3+ 2- 1.

A:

Q: Supposed log 2 = a, log 3 = b, and log 5 = c Express log (20/9) in terms of a, b, and c. none of the…

A: We have, log(2)=a, log(3) = b and log(5)=c We need to express log(20/9) in terms of a, b and c. This…

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

A:

Q: Q3 Identify the restrictions on x and solve for x. log,(6-x) = 2 0 < x < 6, x = 4 0 < x < 2, x=2

A: Identify the restrictions on x and solve for x  logx6-x=2

Q: log 5 + log (x + 8) = 2

A:

Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

A:

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

A:

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…

A:

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: Hiw/ prove That: の logiま2ogi 10g中 の log (i+)=2 l0g(iti)

A: Note that log and Log are different in complex.

Q: If log7(8)+log7(18)=log7(n) then n=    If log(37)+log(n)=log(7) then n=

A: GivenIf log7(8)+log7(18)=log7(n) then n=   If log(37)+log(n)=log(7) then n=

Q: tan -' (i – 3) = Logi-1+ i0 + 12*T -2 Log i-1 -1- i0 + i2kn Log -1+ 10 + i2kT| O 2 2 -i-1|+i8-12kπ 3

A:

Q: 2(q-1)(1–u) + (q-1)(2–u)u+1 log((q-1)(2-u)u+1) > 0 for u > Show that

A: Use some predefined quantity to prove the given expression is positive.

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

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

A:

Q: log base5 (x+1)^5=2

A: