What is the step by step solution to solve this? I am having hard time understanding the steps. **Problem 2: Solve the Equation for x**\[ 2 \ln(x-3) = \ln(x+5) + \ln 4 \]This is a logarithmic equation where you need to solve for the variable $ x $.Steps to solve:1. **Combine Logarithmic Terms:** The equation can be rewritten by using logarithmic properties. The right side, $\ln(x+5) + \ln 4$, can be combined into a single logarithm: \[ \ln((x+5) \cdot 4) = \ln(4(x+5)) \]2. **Set the Logarithms Equal:** Now the equation becomes: \[ 2 \ln(x-3) = \ln(4(x+5)) \]3. **Eliminate the Logarithms:** Since the bases are the same, you can set the arguments equal to each other: \[ (x-3)^2 = 4(x+5) \]4. **Expand and Simplify the Equation:** Expand and rearrange the equation to solve for $ x $.5. **Solve the Quadratic Equation:** Solve for $ x $ considering the domain constraints due to the logarithms.**Note:** Ensure that the values obtained for $ x $ satisfy the original equation’s requirements, specifically that the arguments of the logarithms are positive.

Answered: Image /qna-images/answer/d3a89502-156d-4c83-9c04-9b21baceea21.jpg

Answered: Solve the equation for X-3 2.

Math

Algebra

Solve the equation for X-3 2.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Hello there, I don't understand the writing for problem 2. Can someone write the solution neatly?

A: We have to find here, D'Alembert's ratio test:If , then the series diverges and i.e., a limit does…

Q: Hi!!! I am currently working on a math problem but can't seem to figure it out! Jenniffer just…

Q: Can you do question d? Please show step-by-step solutions. Please do not skip steps. Also, please…

Q: 4. Solve the equation for x. give the reason for each step 2(3x - 4) + 5 = x + 9 (Learning packet…

Q: It's just one question the solutions Are ther and I need the answer. ThankYou!

A: The population proportions difference CI is, (p^1-p^2)±Zp^1(1-p^1)n1+p^2(1-p^2)n2where p^1 and…

Q: 9. Base 11 division: 47.9,, [(2 536A,4) || - S, ? Partial subtraction S, is: a) 2A23 b) 2A21 c) 2123…

Q: What are the steps to solving the monster equation?

Q: I DON'T UNDERSTAND THE BREAKDOWN FROM THE BEGINNING. IS THERE ANYWAY YOU CAN SHOW ME WITH ARROWS…

Q: The point is i need explanation on how to solve each question.

A: Hi thanks you for posting this question , since you have posted multiple subparts as per our policy…

Q: Which of the following is the exponential equation of the form y=ab^ x ) that passes through the…

A: A function is a relation which maps each value in its domain to exactly one value in its range. An…

Q: olutions are only partly corre

Q: Hello, could you possibly outline the steps used to solve all parts of steps 3 and 4. I understand…

Q: when solving a-c, what does the first part of the expressions (1z1 less than or equal to 1) mean? If…

A: Solution: Let z be the standard normal variable with mean 0 and standard deviation 1. z~N(0,1)

Q: I am stuck in this question and unsure of how to solve it.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Write down everything you know about the equation y=mx+b. You should include what this general…

A: Given equation y=mx+b. The objective is to write down everything about the equation.

Q: I cannot figure out how to solve this equation. I think I am missing some steps: Twice the…

A: Given, Twice the sum of three consecutive even integers is 18 more than five times the…

Q: is there no step 3 to this solution? and why does it end like that like what exactly would be the…

A: There is no any step 3. i am going to derive equation again.

Q: I am doing a math problem which is (5+2x)/3 < (2x+2)/4 how do I solve it?

Q: Taika invested a total of $ (a+b+c+ 900) × 1,000 into three investment accounts, paying 3%,4%, and…

Q: I tried the solutions you did, but it still said that it's incorrect. I don't know what else I could…

Q: solution

Q: How do I solve 1/2h(b1+b2) if h=3, b1=4, and b2=6?

A: In order to solve the given expression, first of all put the value of h, b1 and b2 in the given…

Q: 2b. Solve the following equations for Va and Vb: (Va - 10) (Va + Vb) Va + = 0 5 10 20 (Vb - 5) (Vb +…

A: Explained below

Q: A hot air balloon begins its descent at a rate of 225 feet per minute. How long will it take for the…

A: The given data is: The hot air balloon descent at the rate of -2212 feet/minute To find how long…

Q: following up for the solutions to part b! thank you!

A: Given equation of circle r2=x2+y2

Q: Could you explain step by step the solution? Thank you.

A: From the question : N=20 computers p(virus enter) = 0.4 Now : q(virus does not enter)= 1- p = 1-0.4…

Q: Discuss in brief infeasible solution?

A: Linear programming: It is a mathematical modeling procedure where a linear function is maximized or…

Q: What would be the solution to #2 and #4 with steps included?

A: We have to find the value of the given trigonometric function.

Q: Is this also the answer to this question: x4/4 + 1/2 + 1/4x2. If it is, can you show the solution to…

A: We can check is this also the answer to the question : x4/4 + 1/2 + 1/4x2 .

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

100%

What is the step by step solution to solve this? I am having hard time understanding the steps.

**Problem 2: Solve the Equation for x**

\[ 2 \ln(x-3) = \ln(x+5) + \ln 4 \]

This is a logarithmic equation where you need to solve for the variable $ x $.

Steps to solve:

1. **Combine Logarithmic Terms:**

The equation can be rewritten by using logarithmic properties. The right side, $\ln(x+5) + \ln 4$, can be combined into a single logarithm:

\[ \ln((x+5) \cdot 4) = \ln(4(x+5)) \]

2. **Set the Logarithms Equal:**

Now the equation becomes:

\[ 2 \ln(x-3) = \ln(4(x+5)) \]

3. **Eliminate the Logarithms:**

Since the bases are the same, you can set the arguments equal to each other:

\[ (x-3)^2 = 4(x+5) \]

4. **Expand and Simplify the Equation:**

Expand and rearrange the equation to solve for $ x $.

5. **Solve the Quadratic Equation:**

Solve for $ x $ considering the domain constraints due to the logarithms.

**Note:** Ensure that the values obtained for $ x $ satisfy the original equation’s requirements, specifically that the arguments of the logarithms are positive.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

6. Solve the equation 3(3x² + y2)x - 2xydy = 0. a. 2 x² = c(9x² + y²) b. x² = c(3x² + y²) C. d. x³ = c(9x² + y²) 3 x³ = c(3x² + y²) 3
Look at each pair of solutions below. Did anyone get the correct solution? If not, spot the error or errors. Peter's Jane's solution solution Problem # 1 G** = 163x+1 x-2 x-2 = 163x+1 64 x-2 = 163x+1 4-3(x-2) = 42(3x+1) 43(x-2) = 42(3x+1) -Зх + 6 3 бх + 2 Зх- б - бх + 2 -9x = -4 -3x = 8 X = X = 3 Problem # 2 (0.6)*-3 > (0.36)-x-1 (0.6)*-3 > (0.36)¬x-1 (0.6)*-³ > (0.36)~x-1 (0.6)*-3 > (0.6²)~*-1 (0.6)*-3 > (0.6²)-*-1 (0.6)*-3 > (0.6)2(-x-1) (0.6)*-3 > (0.6)²(-x-1) (0.6)*-3 > (0.6)-2x-2 (0.6)*-3 > (0.6)-2x-2 х— 3 >-2х-2 х — 3 1 Зх . 3 3 A.
I cannot see the problem properly. Can the problem be solved step by step mathematically (numerically) instead of written explanation?
I'm confused on how to solve the problem below. Solve: x1/2-x1/4-2=0
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. A person's lean body weight L is the amount he or she would weigh if all body fat were magically to disappear. One text gives the "equation that practitioners can use most feasibly in the field to predict lean body weight in young adult males." The equation is found below. L = 98.42 + 1.08W − 4.14A Here L is lean body weight in pounds, W is weight in pounds, and A is abdominal circumference in inches. Find the approximate lean body weight of a young adult male who weighs 181 pounds and has an abdominal circumference of 41 inches. What is the weight of his body fat? What is his body fat percent?
Can you guide me to solve this problem? ''when a number is decreased by 20% the result is 136'' on TI-30XS Caculator, Homework: 6.3 Applications of Linear Equations CC2
Explain the Implicit, General, and Singular Solutions? How are they different from each other?
Can you show equations and work to please