32 25 30 log (6x + 2) + log (x - 3) = 2 d.

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3- Inx- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x + 2%– 12…

A: Since there are multiple questions requested, we will answer the first question requested (1 (e) and…

Q: IV. Solve the following equations. 9. 8. 14-2x-5 + 2 = 34 10. log, (6 – 4n) = log6(3 – n) - 1+x 11.…

A: As per bartleby expert policy only first individual question is to be answered. Kindly repost…

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2x – 12 = 0 (d) In 3 – In x –…

A: we have to solve the following.

Q: 5. (x² + y² + x) dx − (2x² + 2y² −y)dy = 0 [Answer : x - 2y + log(x² + y²) = c]

A:

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx – In(x + 5) = 0 (c) 22x + 2x – 12 = 0 (e)…

A: Solve the following  c)22x+2x-12=0 e)log4 x+2-log4 x-1=1 f)log2x-1-log2x+3=log21x

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

A:

Q: (1) Solve the following: (a) 4²x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (f) log2(x – 1) – log,(x+ 3)…

A: Since you have asked multiple questions with multiple subparts, we will solve the first three…

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

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: (1) Solve the following: 1 (i) 2*/2-16 32 (ii) log, (x-2)+ log, (x) = 1 %D

A:

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x +2x –…

A:

Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2* – 12 = 0 (d) In 3 – In x –…

A: Hey, Since you have posted multiple questions we will answer the first three subparts. if you want…

Q: i) log, (5x + 4) – log,(4x) = 2. ii) 9e* + 4e-x – 12 = 0.

A:

Q: 5. Find y' and y". f(x)= log,0 x Find y' if y=In(x²+y?) 6.

A: f(x) = log10x ∴ f'(x) = 1/x and f"(x) = -(1/x2)

Q: (22x + 2) dx 11 In|x² +4] +2 tan -1 x2 + 4 +C 2 Logarithm function is missing parentheses around its…

A:

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: Complete the table. x log7x 1         7         49                 -1         -2

A: Given query is to complete the table.

Q: 10. Solve for x: e²* – 4e* – 18 = 3e* 11. Solve for x: log,(x – 4) + log,(x+1)=2 (check for…

A:

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

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

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

A:

Q: 1.  Solve: 32x−1 − 4 · 3x + 9 = 0.

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 4 log, (x) – log, (x² – 2x) Condense

A:

Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: 11 2 log a dx aV6 log r- loga

A:

Q: 1 5 log5 (x) + log5 (y) - 6 log5(z) 6

A:

Q: 25^x-2 = 5^3x   3e^-5x = 132   -4(5^x) = -68   e^2x-7e^x+10=0   ln3x = 8.2   log(x+2) -…

A:

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: (1) y² = x4 + 2x (3)xy = 5+x? (2)y³ +x³ = sin 3.x (4)y = x' log 2.x

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 5. ƒ(x) = 10* . ex 2x-x2 a. 2 b. logze e 10 c. e*10* + loge e*(x-3) d. x²-4x+4 e. 4x²(3 log, x +…

A:

Q: 7) y= log, x+ 9 8) y= log, x

A:

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: ) for the log equation log(x+1) + log(x-2) =1 The number of solution is ________. The sum of…

A:

Q: Differentiate.

A:

Q: (1) Solve the following: (a) 42x-1 (d) In 3- In x - In(x+ 5) 0 (c) 22x + 2x - 12 = 0 (e) log,(x+ 2)…

A: Use property of log to find value of x. Note that first find domain of function. That means value of…

Q: 5. If log 0.3 (x-1) < log 0.09 (x-1), then x lies in the interval c. -2 <x<-1 d. 1<x< 2 a. 2<x < b.…

A: If log0.3(x-1)&lt;log0.09(x-1)

Q: 3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

A:

Q: log/ yx-y+3 1-4xt y 4X - log 3 4x ニ

A: Graph

Q: 7 7 = 0 4 1 + log2 (x – + 2x 4

A:

Q: Please I want solution with all steps. Many thanks

A:

Q: 5. log7 (4) = 7. log(x²+36) = 2 =log, (x-3)

A:

Q: 13. 3*-5 -4 14. In(x – 2) = 4 %3D 15. log(x + 9) + ipgx = 1

A:

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: 1. Solve the equations 2 - x a) 2 – x = |2x + 1| b) 2 = c) log! -2 %3D |x+1|

A: Modulus function is a function which always gives a positive value whatever the input given to the…

Q: 13) log ₁8 (11x + 1) = log₁g (x² + 11) 18 18 A) No solution. B) (-5) C) {1} D) (10, 1

A: The given equation is log1811x+1=log18x2+11.

Q: ez = -2 log.2 – ni A log 2 + ni B log.2 + (2n + 1)ni,n E Z log 2 + (2n)ni, n ɛ Z D log.2 E

A: Given that ez=-2

Q: 16 24 8 log. Z. to

A: Given logay16z24x58

Q: b. log(x*) – log(2x – 1) = log(x?) + log c. log1 3 + logi x < log1 5+ logı (x - 2) 2 2 2 d. log3 (x…

A: Given logarithmic function

Q: 1. Solve the following equation. a) 32x+1 – 28(3*) + 9 = 0 b) log(x – 4) + 2 log 3 = 1+ log c) x(x +…

A: We have to solve given Equation.

Q: 17) log 5 625x8y6 z3

A: