Given that log(3) - 0.4771 and log(2) - 0.3010, find the value of the logarithm. 3. log

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given that log(3) - 0.4771 and log(2) = 0.3010, find the value of the logarithm.
log
Step 1
Since we are given the approximate values for log(3) and log(2), our first goal will be to rewrite the given
expression log
as an expression involving only log(3) and log(2).
Recall that if m and n are positive numbers, then the following law of logarithms holds.
log *
= log(m) –log(n)
n
Applying this law to the given expression gives the following result.
log
log(
– log(
= log
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Transcribed Image Text:Tutorial Exercise Given that log(3) - 0.4771 and log(2) = 0.3010, find the value of the logarithm. log Step 1 Since we are given the approximate values for log(3) and log(2), our first goal will be to rewrite the given expression log as an expression involving only log(3) and log(2). Recall that if m and n are positive numbers, then the following law of logarithms holds. log * = log(m) –log(n) n Applying this law to the given expression gives the following result. log log( – log( = log Submit Skip (you cannot come back)
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