log. ) 1) The conversion between exponential form and logarithmic form: Logarithmic form Exponential form log; 125 53 = 125 log a = y ek = m Inc= 17 49-1/2 = 7 2) Properties/Laws of Logarithms: Use the following laws of logarithms to answer the questions: Law of Logarithms: log. (AB) = log, A+ log, B, loga log, A – log, B, log. (AC) = C - log, В. a) Expand log(AB²C®) b) Combine log, x + log, (x + 1)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
1) The conversion between exponential form and logarithmic form:
Logarithmic form Exponential form
log, 125
53 = 125
log æ = y
ek =
In c = 17
49-1/2
7
2) Properties/Laws of Logarithms: Use the following laws of logarithms to answer the questions:
Law of Logarithms:
log. (AB) = log, A + log, B,
loga
= loga A – loga B,
log. (AC) = C · log, -
B
a) Expand log(AB²C³)
b) Combine log, r + log2 (x + 1)
Transcribed Image Text:1) The conversion between exponential form and logarithmic form: Logarithmic form Exponential form log, 125 53 = 125 log æ = y ek = In c = 17 49-1/2 7 2) Properties/Laws of Logarithms: Use the following laws of logarithms to answer the questions: Law of Logarithms: log. (AB) = log, A + log, B, loga = loga A – loga B, log. (AC) = C · log, - B a) Expand log(AB²C³) b) Combine log, r + log2 (x + 1)
1
1
as 5'. Then use it to solve the equation 54-*
125
1) Rewrite
125
2) Rewrite e2" as (??)². Then use it to solve the equation e2 – e – 6 = 0
3) Rewrite 2 as a logarithmic of base 3. That means 2 = log3
log3 (x – 8) + log3 x. Now solve the equation log3 (x – 8) + log; a = 2. After you solve the
Then combine
equation, make sure you substitute your answer back so that the value under log is not negative.
Transcribed Image Text:1 1 as 5'. Then use it to solve the equation 54-* 125 1) Rewrite 125 2) Rewrite e2" as (??)². Then use it to solve the equation e2 – e – 6 = 0 3) Rewrite 2 as a logarithmic of base 3. That means 2 = log3 log3 (x – 8) + log3 x. Now solve the equation log3 (x – 8) + log; a = 2. After you solve the Then combine equation, make sure you substitute your answer back so that the value under log is not negative.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning