4. Solve for x log 2(x- 1) + log 2(x+5) = 4

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

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: What is the solution of 4 + 3 log(2x) = 16 ?

A: #  Given equation is          4+3log 2x=16

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

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

A:

Q: 2. Differentiate: a) y = log2(3x) %3D 2 b) f(x) = –7 log(x²) %3D

A:

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

A:

Q: Does the function f(x)= logarithm x with the base of 1/2 approach a certain real number as the value…

A: Given

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: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

A:

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

A:

Q: 3) In x-log x = 1. Answer should be in the natural exponential form. %3D

A: This is complicated and lengthy problem, so I can do it in Advanced Mathematics.

Q: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %3D

A:

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

A:

Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: (b) Solve log (4x) —log 3 = log(x+4) for x.

A:

Q: 25. Solve for x if log 3x = -2. A. 1 9. B. -9 С. 1 D. -6

A:

Q: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

A:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

A:

Q: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

A:

Q: How does the second to last step come about? How does "log(5^x/2) + log(5^1/2)" turn into "log (sq.…

A: Note: From seeing the previous explanation we observe that there is a typing error in the second…

Q: 9

A: We need to solve

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

A:

Q: 4. Find the solution set of log3 (2x +6) + log3 (2x-2) = 2. |

A:

Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

A:

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: 1. Solve for both the -3 ln (x + 5) - 2

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

A:

Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: 2. Show that x– log (1 +x) < く 2 (1+x) ' ザ-1<x<0.

A:

Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

A:

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

A:

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

Q: 1+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: Solve for x in log4(x+ 1) + log4(x – 1) = log4 15. A. x = 5 В. х— 4 C. x = +4 D. x = 3 or x = 1

A: We need to solve the following equation log4x+1 + log4x-1 = log415

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…