### Quiz: Logarithmic Equation Problem**Question:**What is the solution to this equation?\[ \log_3(4x) - 2 \log_3 x = 2 \]**Options:**- **A.** $36$- **B.** $\frac{1}{36}$- **C.** $\frac{4}{9}$- **D.** $\frac{9}{4}$*[Note: Option D. $\frac{9}{4}$ is highlighted in yellow as the selected answer.]***Instruction:**Please select the correct solution and then press the 'Reset' button to clear your response if needed.**Interactive Element:** - **Reset Button:** A button to reset the selection of the answer.**Explanation:**This problem requires understanding logarithmic properties to solve the equation. Start by using the logarithmic identity $ a \log_b c = \log_b (c^a) $ to simplify and solve for $ x $.

Answered: Image /qna-images/answer/c9fefb03-c483-4572-9bc0-fb194495c8c9.jpg

Answered: What is the solution to this equation?…

Math

Algebra

What is the solution to this equation? log3(41) – 2log,# = 2 A. 36 1 O B. В. 36 С. 9 9 D. 4 Reset

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: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

Q: Show all work with hand calculation. Using the formula uploaded in the image below, find the h1 and…

Q: h1 2.ЗaL -log h, kHyd ТА ||

Q: 13-х 13. 3 497x+3

A: 7.

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: If x = 28, then log x, correct to the nearest hundredth, is A. 2.17 B. 9.22 C. 1.45 D. 0.96

Q: 2 Which property would be performed first when expanding log7 a. Subtraction Rule Power Rule d.…

A: Quotient Rule The logarithm of the ratio of two quantities is the logarithm of the numerator…

Q: 11. Solve log3 a + logs(a – 8) = 2. A. 9 В. 5 O C. -1, 9 D. 8

A: We use logarithmic properties

Q: Express the solution in exact form. log 4(x - 5) + log 4 (X – 5) = 1 O A. {7} О в. {-26, 26) O c.…

Q: Determine the length of GE.

Q: Solve the following equation. log 2(4x + 2) = 4 The solution set is (Simplify your answer.)

Q: Solve the equation. Give an exact answer using the log function and an approximate solution to 4…

Q: Solve the equations by finding the exact solution. 1/5logx-log1,000=3 Answer Choices: A.)x=10^30…

Q: log, (3r + 10) log, Vr+ 2 В. (-3} The solution set of = 4 is A. (-3, 2] С. (2} D. {-3,2} If P(a) is…

A: As per the guidelines we can solve 3 questions only

Q: What is the value of log to the base of 1000³? A. 9.9 In a triangle ABC, find side e if angle C =…

A: Question 1,Given, log to the nase of 100033.To find : The value of log.

Q: Solve each logarithmic equation. 1.) log, 64 = 2 2.) log2 128 = + 6 8 3.) logą n = 3

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: 6. Solve the logarithmic equations below: log3 (p – 2) + 9 = 12 b. - 3log4 (2p + 3) – 1 =- 4 а.

Q: Which of the equations are TRUE based on the exponential function. 2* = 16 Consider the following…

Q: Solve. log 3(x+21) – log 3(x− 5) = 3 Solve the equation. Select the correct choice below and, if…

Q: Show all work with hand calculation. Using the formula uploaded in the image below, find the h1 and…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Solve for the value of x in the equation: 2 log x – log (30 – 2x) = 1 В. 10 If a = cos O and b = sin…

A: Using logarithmic function

Q: Show all work with hand calculation. Using the formula uploaded in the image below, find the h1 and…

Q: Drag the tiles to the correct boxes to complete the pairs. Match each equation with its solution.…

A: We know log a + log b = log(ab) log a = log b ⇒ a=b ea=eb ⇒ a=b log a = b ⇒ a=10b

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

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

Multiple Choice. Choose the letter of the correct answer. Include your solutions. 1) What is the value of x in logx 3 = 1/3?A. 1 B. 3C. 9 D. 272) An earthquake has an intensity of 10^7.1 x I0. What is its magnitude using the Richter scale?A. 2.9 B. 7.1 C. 8.5 D. 103) What is the pH of an aqueous solution when the concentration of hydrogen ion is 6.5 x 10^-5 M?A. 4.19 B. 5.05 C. 5.65 D. 6.504. Calculate the concentrations of H+ in the pure water solution with pH = 6.90. A. 1.10 x 10-8 M C. 1.25 x 10-5 MB. 1.15 x 10-6M D. 1.26 x 10-7 M5. What is the decibel rating of the sound of an orchestra playing a movement for fortissimo at 3.6 x 10^-5 W/m^2?A. 76 dB B. 87 dB C. 92 dB D. 98 dB
Solve the following equations (a-c). Give an exact and an approximate answer to two decimal places: log(x) – log(r+ 1) = log(æ + 3) – log(x + 5) 92+3 6-4 a. |3D - - b. 4+9 log, x = = 15 С.
Question in picture
Write in logarithmic form. 45/2 = 32 log 232 = 4 А. log 54 5 В. Iog 4323D 5 Oc. log 54 = 5 D. log 32
#15 only Solve each equation. Express all answers in exact form. If the answer isirrational, also give the answer to 2 decimal places.
#14 only Solve each equation. Express all answers in exact form. If the answer is irrational, also give the answer to 2 decimal places.
Solve for the variable P to two decimal places. 68,800 =P.0.075(6) P= (Round to two decimal places as needed.) Write the expression as a sum andlor difference of logarithms. Express powers as factors. In x>3 (x- 3) 7x/1+ 2x In (Simplify your answer.) (x- 3)° Write the expression as a sum and/or difference of logarithms. Express powers as factors. x(x + 2) log x(x+ 2) log ox+5""U (Simplity your answer.) heent Aproriry rele wl py S30.000 at mayy on ron How mh shad Frewy a weth aa orandeor y anaue ree ) O Pt An i o r ye r The tvr nd oace
Solve and show the complete solution.
Can you help pretty pls
#16 only Solve each equation. Express all answers in exact form. If the answer is irrational, also give the answer to 2 decimal places.
Am I correct?