Using Properties of Logarithms In Exercises 33-40, approximate the logarithm using the properties of logarithms, given log, 2- 0.3562, log, 3 - 0.5646, and log, 5-0.8271. 34. log, 36. log, 2 33. log, 10 35. log, 0.04 37. log, 45 38. log,(36) 39. log,(2b)- 40. log, 36

Using Properties of Logarithms In Exercises 33-40, approximate the logarithm using the properties of logarithms, given log, 2- 0.3562, log, 3 - 0.5646, and log, 5-0.8271. 34. log, 36. log, 2 33. log, 10 35. log, 0.04 37. log, 45 38. log,(36) 39. log,(2b)- 40. log, 36

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.3: Properties Of Logarithms

Problem 37E: Using Properties of Logarithms In Exercises 33-40, approximate the logarithm using the properties of...

See similar textbooks

Related questions

Q: Using Properties of Logarithms In Exercises 87 and $88,$ use the properties of logarithms to…

A: NOTE- AS WE ARE ALLOWED TO ANSWER MAXIMUM THREE SUBPARTS IN ONE QUESTION SO, I HAVE ANSWERED FIRST…

Q: Solving a Logarithmic Equation InExercises 47–62, solve the logarithmicequation algebraically.…

A: As per our honor code, we are authorized to answer only one question at a moment. As you have not…

Q: Using Properties of Logarithms In Exercises 87 and 88 , use the properties of logarithms to…

A: Given: ln2=0.6931ln3=1.0986(a) ln(6)=?(b) ln23=?(c) ln(81)=?(d) ln(3)=?

Q: Writing an Exponential Equation In Exercises7–10, write the logarithmic equation in exponentialform.…

Q: Compound Interest In Exercises 49–52,complete the table by finding the balance Awhen P dollars is…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Graphing Logarithmic Functions In Exercises 13-20, sketch the graph of the function. See Example 1…

A: The objective of the question is graphing the given function. Here x>0, y=o ,if x=4,…

Q: Solving a Simple Equation In Exercises7–16, solve for x.

A: 7) Given that, 4x=16 Simplification: Since we have, 4x=16 So 4x=42x=2 If am=an⇒m=n Hence x =…

Q: Using the Change-of-Base Formula In Exercises97–100, use the change-of-base formula to rewrite…

A: NOTE- AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION. SO, I HAVE ANSWERED FIRST THREE FOR…

Q: Sketching the Graph of a LogarithmicFunction In Exercises 41–48, find thedomain, x-intercept, and…

A: Since you have posted multiple questions, as per our policy we will answer first question, Please…

Q: Graphing a Natural Logarithmic Function InExercises 71–74, use a graphing utility to graph…

A: Part(a) Given function is fx=lnx-1

Q: Evaluating a Logarithm In Exercises15–20, evaluate the logarithm at the givenvalue of x without…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Stereograms, revisited Because of the skewness of thedistributions of fusion times described in…

A: The data represents the boxplots for the log(fusion times) of two groups, NV and VV. In the boxplot,…

Q: Finding the Best Model. Construct a scatterplot and identify the mathematical model that best fits…

A: Step-by-step procedure to construct the scatterplot for linear model using the Excel: Select the…

Q: Using the One-to-One Property InExercises 29–32, use the One-to-One Propertyto solve the equation…

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

Q: Expanding a Logarithmic ExpressionIn Exercises 41–60, use the properties oflogarithms to expand the…

A: **** As per our guidelines, we are supposed to solve only the first ten problems/subdivisions.…

Q: Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3869, logb 3 ≈…

Q: Condensing a Logarithmic ExpressionIn Exercises 61–76, condense the expressionto the logarithm of a…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Matching an Exponential Function with ItsGraph In Exercises 13–16, match the exponentialfunction…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Graphing Exponential and LogarithmicFunctions In Exercises 33–36, sketch thegraphs of f and g in the…

A: Given: 33. f(x)=7x, g(x)=log7x34. f(x)=5x, g(x)=log5x35. f(x)=6x, g(x)=log6x36. f(x)=10x,…

Q: 9–22 ■ Evaluating Logarithms Use the Laws of Logarithms toevaluate the expression.

A: (9) Given: log 50 + log 200 Use: log (xy)=log (x)+log (y) =log 50.200=log 10000 use: 10000=104…

Q: 2. Exploration of the Product Law of Logarithms. Make and test a conjecture about the product law of…

Q: Finding the Best Model. In Exercises 5–16, construct a scatterplot and identify the mathematical…

A: Identify the mathematical model that best fits the given data. The data shows the value of $1000…

Q: Graphing a Natural Exponential Function InExercises 41–44, use a graphing utility to graph…

A: Part(a) Given exponential function is st=2e0.5t

Q: B) Global Warming: The temperature of the earth is rising, as a result of the "greenhouse effect,"…

Q: How do you answer 67 and 69?

A: 67.Given expression is,

Q: 1 Evaluating Logarithms Evaluate the expression. 25. (a) log, 2 (b) log, 1 (c) log, 6* 26. (a) log,…

A: We are solving the first questions and for the next questions post the question againand also…

Q: Lognormal Distribution The following are the values of net worth (in thousands of dollars) of recent…

A: The values of net worth are,237592, 16068, 153250, 11712, 7304, 6037, 4483, 4367, 2658, 1361 and 311

Q: Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3869, logb 3 ≈…

A: Given: logb 2 ≈ 0.3869, logb 3 ≈ 0.6131, and logb 5 ≈ 0.8982. We have to find the logb15:

Q: Carbon dating The half-life of C-14 is about 5730 yr.a. Archaeologists find a piece of cloth painted…

A: Carbon dating The half-life of C-14 is about 5730 yr. We have to answer the following... (a).…

Q: Exponential Regression The table below shows the value, V, of an investment (in dollars) after n…

A: Using a calculator we get V(n) = 4053.121.028n

Q: Writing a Natural Exponential Equation InExercises 49–52, write the logarithmic equation…

A: To write the logarithmic equation in exponential form. Properties of logarithm function: 1)…

Q: Using Properties of Logarithms InExercises 13–18, use the properties oflogarithms to write the…

A: Answer(13): The given logarithm expression is: log335 Since, 35=5×7 So, log335=log35×7 Now, apply…

Q: Finding the Best Model. In Exercises 5–16, construct a scatterplot and identify the mathematical…

A: Step-by-step procedure to construct the scatterplot for linear model using the Excel is as follows:…

Q: Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3869, logb 3 ≈…

Q: Airborne concentrations of a pollutant follow a lognormal distribution. The pollutant has…

A: From the given information, Airborne concentrations of a pollutant follow a lognormal distribution.…

Q: Graphing a Natural ExponentialFunction In Exercises 37–40, use agraphing utility to construct a…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Finding the Best Model. Construct a scatterplot and identify the mathematical model that best fits…

A: The step-by-step procedure to construct the scatterplot for linear model using the Excel is as…

Q: Calculus 11th Edition by Ron Larson Chapter 5 Section 5.1: The Natural Logarithmic Function:…

A: The given logarithmic expression is,

Q: Comparing Logarithmic Quantities In Exercises77 and 78, determine which (if any) of the…

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

Q: Changing Bases In Exercises 5–8, rewritethe logarithm as a ratio of (a) commonlogarithms and (b)…

A: Given: 5. log5166. log1547. logx110 8. log2.6x To rewrite: The logarithm as a ratio of (a) Common…

Q: Considering the log loss equation. Explain how the logloss is used in logistic regression error…

A: The main purpose of any cost function or error function is to quantify the error between…

Q: True or False? In Exercises 89–92, rewrite eachverbal statement as an equation. Then decide…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Finding the Best Model. Construct a scatterplot and identify the mathematical model that best fits…

A: Given info: The data shows the different amounts of the explosive TNT and the corresponding value…

Q: Evaluating a Natural ExponentialFunction In Exercises 33–36, evaluate thefunction at the given value…

A: "Since, you have asked a question with multiple subparts , we will solve the first three subparts…

Q: Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈…

A: By using logarithm property, we calculate the required logarithm value.

Q: Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈…

Q: During the period from 2003 through 2010, gold prices doubled every 3 years (approximately). (a)…

A: Given, During the period from 2003 through 2010, gold prices doubled every 3 years (approximately).…

Q: Logarithms In Exercises 33–40, approximate the logarithm using the properties of logarithms, given…

A: Consider the following expressions: logb2≈0.3562logb3≈0.5646logb5≈0.8271…

Q: Evaluating a Common Logarithm on a CalculatorIn Exercises 21–24, use a calculator to evaluatef(x) =…

A: Given, 21) x=78 Now find: f(x)=log(x) Now substitute the value of "x" we get, f(x)=log78 we know…

Q: Finding the Best Model. In Exercises 5–16, construct a scatterplot and identify the mathematical…

A: The data shows the time t (second) and distance d (meters). Step-by-step procedure to construct the…

Question

100%

Using Properties of Logarithms In Exercises
33–40, approximate the logarithm using the properties
of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈ 0.5646,
and logb 5 ≈ 0.8271

Using Properties of Logarithms In Exercises
33-40, approximate the logarithm using the properties
of logarithms, given log, 2- 0.3562, log, 3 - 0.5646,
and log, 5-0.8271.
34. log,
36. log, 2
33. log, 10
35. log, 0.04
37. log, 45
38. log,(36)
39. log,(2b)-
40. log, 36

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, trigonometry and related others by exploring similar questions and additional content below.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning