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)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.4: Laws Of Logarithms
Problem 30E
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
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning