1. Use the properties of logarithms to solve the following equation.\log _(7)(x+2)= \log _(7)(14)- \log _(7)(x−3) 2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not? Here are your discussion problems for week 8.F Use the properties of logarithms to solve the following equation.log,(x + 2) = log,(14) – log,(x- 3)|2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not? (If you don't includewhy or why not you will loose points.)

r Use the properties of logarithms to solve the following equation. log,(x + 2) log,(14) – log-(x – 3) 2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not? (If you don't include why or why not you will loose points.)

r Use the properties of logarithms to solve the following equation. log,(x + 2) log,(14) – log-(x – 3) 2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not? (If you don't include why or why not you will loose points.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.5: Logarithmic Properties

Problem 40SE: Can the power property oflogarithms be derivedfrom the power property of exponents using theequation...

See similar textbooks

Related questions

Q: 7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy, %3D

Q: Which expression has the greater value? Show all of your work. 1 A: log2 16+ log2 8 B: log() -log(1)…

Q: Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from…

A: Th equation is T=b×log2n+1 where n is the number of options and T is time taken. Here n=8 and T=5 .

Q: Use this information to evaluate the following. Hint: do not try to solve for the value of a loga 2…

A: Consider the given values:

Q: Solve the following equation: log3 (æ – 8) + log3 * = O x = -1 and æ = 9 O x = -1; a = 9 is an…

A: log3(x-8)+log3x=2log3(x-8)(x)=2(x-8)(x)=32x2-8x=9x2-8x-9=0x2-9x+x-9=0x(x-9)+1(x-9)=0x=-1, x=9

Q: Pareto’s principle is defined as log P = log c – k log W, where W = wealth level, P = number of…

Q: Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: Solve the given problem

Q: II. Using the rules on logarithms, expand the following logarithmic expressions. log, 2x (x + 1) 1.…

A: On solving this using logarithmic identities we will get

Q: Earthquakes The Richter scale is used to measure the intensity of earthquakes, where intensity…

Q: Solve for x in the equation 2 + log, yi = e2 – j2 X= type your answer..

A: Solution : Given that 2 + log2yj = e2x - j2

Q: x) = -x-$/7 – logg(x) +e* -n°. You do not have to simplify your final answer.

Q: In(3x + 2) = 4 In(x – 1) – In(x – 3) = 1 2 In(x) = In(4) + In(x + 3)

A: 1. Given In (3x + 2) = 4

Q: olve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log2(x + 7) −…

Q: Use logarithms to solve the equation for t. Give both an exact answer (in terms of logarithms) and…

Q: Q2. Use properties of logarithms to condense the logarithmic expression below. Write the expression…

A: To evaluate the expression

Q: Remaining "How Did I Do?" Uses: 0/1 Use the fact that: loga (x) = -1.6, loga (y) = 4.2, and loga (2)…

Q: log(x – 2) V18 – 2x - 11. Find the domain of f(x) = (2, 9] O (2, 9] (2, 9) (2, 00) O (-00, 9)

Q: Time for a prediction! Based on all of your vast math knowledge, what do you think will happen to…

A: To find what will happen to the graph of, y=log3 x, if we add a +2 to the end and make it y=log3 x+2…

Q: 4. Write the expression in terms of elementary logarithms (use the properties of logarithms) a) log…

Q: )Using the properties of logarithms, rewrite the following expressions in terms of r, s, and t,…

Q: Q5: Solve logarithmic equation. 2 logb 4 - 3 log 2 + log₁ 2 = log₁ x

Q: FINDING Y’, GIVE THE SOLUTION OF THE ANSWER. 1. y=Cosh-1[sec(3x)]/loge3

Q: Solve - log, (x + 12) + log, a = 3 O =-16 and x = 4 %3D Or=-16 x = 4 is an extraneous solution | O…

A: Given: The equation log4x+12+log4x=3 To determine: The solution of the given equation.

Q: ) Using the properties of logarithms, rewrite the following expressions in terms of r, s, and t,…

Q: Solve the equation 2X = 9 for x. Part A What is the exact solution written as a logarithm? A. x =…

A: To find: Solution of given equation.

Q: %3D V6x = V5x + V5. find the value of x and give the answer in the formp +v9. (b) Diberi loge p-log,…

Q: Earthquake energy The energy E (in ergs) released during an earthquake of magnitude R may be…

A: logE=11.4+1.5R a). On simplification, we get ⇒E=1011.4+1.5R ∵logx=y⇒x=10y

Q: (a) How is log, x defined? (b) Find log, 9. (c) What is the natural logarithm? (d) What is the…

A: (a). The logarithmic function y = loga x is defined to be equivalentto the exponential…

Q: Use this information to evaluate the following. Hint: do not try to solve for the value of a.…

A: (a)Evaluate the expression loga15 using the given informations as follows.

Q: 3. Solve. Check your solution. log, (x +4)+log,(2r – 3) = log, 6

Q: log2(-x) = 3 – log2(2 – x) | |

A: Given, log2-x=3-log22-x

Q: Evaluate the expression: Enter ONLY the numerical answer that would go in for x DO NOT enter x =…

Q: Use the properties of logarithms to write the following expression as a single term that doesn't…

A: we have to use the properties of the logarithms to write the following expression as a single term…

Q: 15) Find the log3(5). Use the formula: log.(x) = Log,o(x) log1o(a)

Q: Solve the equation: log3 (x) + log3 (z - 8) = 2 %3D | The solution is x =

Q: Evaluate the expression: Enter ONLY the numerical answer that would go in for x DO NOT enter x =…

A: We have to find the value

Q: 2. log, 2+2 log,6-log,9 3. 5 logx-2 log 4 4. Use the change-of-base formula to evaluate log, 82.…

Q: The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and…

Q: Use the properties of logarithms to write the following expression as a single term that doesn't…

A: Given e8-2lnx+lny

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

A: Given, 44x=7

Q: 3. Solve the log equation. Be sure to check your solutions. log 5(x+ 7)+ log 5(x+ 3)= 1

Q: Solve for x using the definition of logarithm: (log, +2 9)-2=0. (Type your answer in the box below,…

Q: Which property would you use to solve the equation? log,(x – 1) –3 log,(x + 1) = 10 (Select all that…

Q: Log4(k2+2k)=log4 15

A: Given equation is, log4(K2+ 2K)= log415 So we can write is as K2+2K= 15

Q: ppose log a = -6 and log b = 7. Find the value of log vab.

Q: log y Solve 4* - 5 = 6 for x using the change of base formula log, y = log b -4.226 O-3.708 05.774 O…

Q: 10. Solve. 4 – log2(x) = log2(x - 6) 10. Write the restrictions on the domain. Show your…

A: Inside log we must have a positive number So, x>0 and x-6>0 So, x>6 So, domain is x>6…

Q: Solve for x the equation log, x+log, 81= 5log, 3.

A: Given, log3x + log381 = 5 logx3 We have to solve for x.

Q: 2. log,(x) + log,(* - 8) = 2 a. Solution: b. What property(ies) did you use to solve this problem?…

A: The given equation is, log3x+log3x-8=2 now use the product property of logarithms.…

Q: 9. Bonus Question!!!! Solve the equation. If there is more than one solution, separate your answers…

A: The given equation is log x+log(x-15)=2

Question

100%

1. Use the properties of logarithms to solve the following equation.

\log _(7)(x+2)= \log _(7)(14)- \log _(7)(x−3)

2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not?

Here are your discussion problems for week 8.
F Use the properties of logarithms to solve the following equation.
log,(x + 2) = log,(14) – log,(x
- 3)
|
2. Do we need to worry about extraneous solutions when we are solving logarithmic equations? Why or why not? (If you don't include
why or why not you will loose points.)

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 1 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

How the Logarithm IncreasesIf logx=8.3 and logy=10.3, how do x and y compare?
When can the one-to-one property oflogarithms beused to solve an equation? When can it not be used?
How is the logarithmic function f(x)=logb(x) related to the exponential function g(x)=bx ? Whatis the result of composing these two functions?
The inverse of every logarithmic function is anexponential function and vice-versa. What doesthis tell us about the relationship between thecoordinates of the points on the graphs ofeach?
Can the power property oflogarithms be derivedfrom the power property of exponents using theequation bx=m ?If not, explain why. If so, show thederivation.
The intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula logI1I2=M1M2 where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hitHonshu, Japan. In March 2011, that same regionexperienced yet another, more devastating earthquake, this time with a magnitude of 9.0.[23] Haw many timesgreater was the intensity of the 2011 earthquake?Round to the nearest whole number.
What strategy would you use to graph fx=log5x?