My question is for the part circled in green only. The question is why does logb(b) =1 4.The final answer is 3 log (m) +2 log b(n) - ·5.Substitute this into the result found earlier.4.(q) Boy5.= (q)ª Bo1 ( = (q)ª Boj aɔu%3D1.%3D5.4.5.The logarithm – log (b) can still be simplified.4This gives 3 log (m)+ 2 log b(n)- log b(b).1.by5.The expression can be further simplified by multiplying through1.(9)" B01 - (") ° Bo1 + (z,u) ° Bo1)2The given expression can then be rewritten.%3D%3DSimilarly, log (nº) = 8 log (n) and log , (b°) =5 log (b).%3Dproducts.Use the Power Rule to write the logarithms of powers as() " B01 - (6") ª Bo1 + (z,w) ª 6o1 )Section 3.9 homework-Jessica21

Answered: My question is for the part circled in…

Math

Calculus

My question is for the part circled in green only. The question is why does logb(b) =1

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...

See similar textbooks

Related questions

Q: Find the largest value of x that satisfies: log, (2) – log,(æ + 1) = 1 2 Calculator

A: We have to find x

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: Evaluate value of the following log9 x log3 x

Q: What does the multiplicative property of logs say that logb(m⋅n) is equal to?

A: Log of multiplication of two numbers is sum of log function

Q: Use the Laws of Logarithms to expand the expression. log, (xy):0

Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

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

Q: 1 Use the change of base formula to compute log, 8 Round your answer to the nearest thousandth. ?

Q: Use the properties of logarithms to expand the quantity: log2(x10y/z5)

Q: What values could replace the "?" in these equations to make them true? 1. log10 10, 000 =? 2. log1,…

Q: 16 Given log 4 1.262 and log, 7 1.771. what is the value of log3 () Enter your answer in the box. 16…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Evaluate the following. 1 a) log√3 b) log² √b

Q: If log10000 1 then the value of x is = ? ||

A: Find the value of x

Q: Determine whether the following statement is true or false, and explain why. log10 0 = 1

Q: Log with a base "e" (loge) is the same thing as...

A: Given : loge

Q: Evaluate the expression using a calculator. Round to the nearest thousandth. log(V3)

Q: 2. The expression log(3 + x) is undefined for what values of x?

Q: Use the Lavs of Logarithms to expand the expression. log;(xV)

Q: Ise the Laws of Logarithms to expand the expr log2

A: We have to express the given expression

Q: Why is e a convenient base for exponential and logarithmic functions?

A: The number e is very important in mathematics, alongside 0 , 1 , i , and π . All five of these…

Q: 7 In Ve

Q: Before the invention of calculators, logarithms took much longer to evaluate. (Think of the older…

A: The given number is 679140 And it is also given that 679140= 22 x 32 x 5 x 73 x 11

Q: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4?

A: Given: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4? To Find: To check the…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

Q: Express the following as a sum, difference, or multiple of logarithms. log 2 a

Q: Use the Laws of Logarithms to expand the expression. log z2

Q: In the given question , use the properties of logarithms to expand the logarithmic expression. ln…

Q: Find a formula for the exponential function passing through the points ( – 2, 108) and (1, 4) f(x) =

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is in the form of…

Q: The graph of the exponential function with base, e, has a at Its domain is Its range is

A: Domain and range of the exponential function with base e

Q: 3. If loga logx - 3logy , what is the value of a?

Q: What is the exponential form of log2(x) = 5?

Q: What is the value of (log 5 to the base 2) + (log 5 to the base 3)?

A: the value of (log 5 to the base 2) + (log 5 to the base 3) is

Q: After examining the graphs of several logarithmic functions, you should see that there are…

A: Solution

Q: given that log109=0.95 and log102= 0.30 to two decimals places evaluate the following log10900

Q: Given that log(2) ≈ 0.3010, find the value of the logarithm. log(√2)

A: Given query is to find the value of logarithm.

Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

Q: 1. Explain why log a ⁡ a x = x. 2. What is the difference between a common logarithm and a natural…

Q: 3 In e² 8. |

Q: Suppose we know that log x = 7.4. Find the following. log (1000x)

Q: Explain why the logarithm of 1 with base b is 0?

A: We have to prove that logb1=0 We know that a0=1 Taking log both sides, logba0=logb10 logba=logb1…

Q: Use the Laws of Logarithms to expand the quantity.

A: Given, We know that, lna·b·c=lna+lnb+lnclnam=mlna

Q: For what values of x is the equation logb x8 = 8 logb x true?

Q: 2) Evaluate the following without using a calculator. Show your work. a) loga 8 = b) log: (

Q: Use the Laws of Logarithms to expand the expression. xy (а) log x + 2 (c) log V + 4) (b) In

A: We know that, the property of logarithm is given as logmn=nlogm ⋯⋯1logmn=logm+logn…

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

Q: What is 2*log(3)? Expanded and get the exact answer.

A: Use property of logarithm

Q: Given log b 2 equals A and Log b 3 equals B, what is the value of log b 4/3

A: It is given that logb2 = A and logb3 = B.Obtain the value of logb (4/3) as follows.

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

A: Given: The expression logablogba To simplify: The given logarithmic expression after converting it…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log9 x/log3 x

A: Consider the provided expression, log9xlog3x Simplify the provided function. Apply the logarithm…

Question

My question is for the part circled in green only. The question is why does logb(b) =1

4.
The final answer is 3 log (m) +2 log b(n) - ·
5.
Substitute this into the result found earlier.
4.
(q) Boy
5.
= (q)ª Bo1 ( = (q)ª Boj aɔu
%3D
1.
%3D
5.
4.
5.
The logarithm – log (b) can still be simplified.
4
This gives 3 log (m)+ 2 log b(n)- log b(b).
1.
by
5.
The expression can be further simplified by multiplying through
1.
(9)" B01 - (") ° Bo1 + (z,u) ° Bo1)2
The given expression can then be rewritten.
%3D
%3D
Similarly, log (nº) = 8 log (n) and log , (b°) =5 log (b).
%3D
products.
Use the Power Rule to write the logarithms of powers as
() " B01 - (6") ª Bo1 + (z,w) ª 6o1 )
Section 3.9 homework-Jessica
21

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

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, calculus and related others by exploring similar questions and additional content below.

Similar questions

To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?
Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such that the initial population at time t=0 is P(0)=P0. Show algebraically that cP(t)P(t)=cP0P0ebt .
For the following exercise, choose the correct answer choice. A doctor and injects a patient with 13 milligrams of radioactive dye that decays exponentially. After 12 minutes, there are 4.75 milligrams of dye remaining in the patient’s system. Which is an appropriate model for this situation? a. f(t)=13(0.0805)t b. f(t)=13e0.9195t c. f(t)=13e(0.0839t) d. f(t)=4.751+13e0.83925t