1. Solve the following equation. a) 32x+1 – 28(3*) + 9 = 0 b) log(x – 4) + 2 log 3 = 1+ log c) x(x + 2) < 24

Q: 18. Solve the following logarithmic equation: In(x + 31) – In(4 – 3x) = 5 ln 2. O x = 2 O x = 1 O x…

A:

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: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

A:

Q: 1 1 7. Show that log3 x show your full solution with restrictions log5 x log15 x

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: (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: B S₁ Evaluate: A In 10 (В) ® -log² (x+1)+C 2 In 10 In[log(x+1)] + C -In 10 log2 (x+1)+C 2 D dx (x+1)…

A:

Q: Solve for x: log (x + 3) + log x = 1. Show that the above equation will have an irrational root if…

A: Solution: To find value of x, log2(x+3)+log2(x)=1log2((x+3)(x))=1   (property of logrithm…

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

A: (d) ln3-lnx-lnx+5=0 Moving negative elements on opposite side of equation we getln3=lnx+lnx+5 Apply…

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

A:

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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: Evaluate: A B С) D (x+1) log(x+1) 1 -In[log(x+1)] + C In 10 1 -In 10 log² (x + 1) + C 2 In 10…

A: Given problem:-

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

A: Answer

Q: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

Q: (1) solve the following  i) 2x/2-16  = 1/32  ii)  log8 (x-2) log8 (x )= 1

A: We have to solve and finding the value of x  Here using logarithmic properties

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

A:

Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A Solve the following (i) 4+e2x = 12 %3D (ii) 3 log (x+4) = -2.2

A: The given equations are I) 4 + e2x =12 II) 3 log(x +4) = - 2.2

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

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: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

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: The value of c which satisfy the conclusion of Rolle's Theorem for f(x)=log(x²+1)-log(2) on [-1,1]…

A:

Q: Solve the following d. In 3- Inx - In (x + 5) = 0 e. Log4 (x+ 2)- log4 (x - 1) = 1 f. Log2 (x-1) –…

A: The detailed solution is as follows below:

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

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: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: I need some help on ii for #1 please!

A:

Q: 1-coth² (log₂x) dx x cosh(log₂x) 1. 11/20

A: We have to find the integral.

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: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

A:

Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.

Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: 13. Express the following equations in exponential form. (a) logs 5 = 1 (b) log, Q = k (c) In 30 =…

A:

Q: A) Using two iterations of the Simple Iterative Method, find the root of the following equation 2x-…

A: Since you have asked multiple questions, we will solve first question for you. If you want other…

Q: 14. Solve the following equations and inequalities. a) b). c) (1 : ¹+x= 27√√3 (2sinx+√3)(√2cosx - 1)…

A:

Q: 6. Solve the following equations for the unknown: i) 4 3n = 32 ii) log2(y +1) + log:(y– 1) = 3 iii)…

A:

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

A:

Q: 1. Express the following as a single log 3log xy-log x +log y a) 6log x b) 3log x c) 6log y d) 3log…

A:

Q: Solve the following d) In3 - In x - In (x + 5) = 0 e) log4(x+2)-log4(x-1)-1 f) log2(x-1)-log2(x+3)=…

A:

Q: (1) Solve the following: (a) 42x−1=64 (b) 81−x=4x+2 (c) 22x+2x−12=0 (d) ln3−lnx−ln(x+5)=0 (e)…

A: Dear student as per our rule in one session we can only solve the first three subparts of one…

Q: 1. Solve for x. log4(x² log,(x – 4) – log4(x +2)=2

A:

Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

A:

Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

A:

Q: calculate the first four iterations for the approximate value of the root of the function f(x) =…

A:

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,