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Solving a LogarithmDate: 6/29/96 at 1:10:28 From: Anonymous Subject: Solving a Logarithm Hi! How are you? I need help. Can you help me solve this question? log a = -1.3
Date: 6/30/96 at 15:44:48
From: Doctor Luis
Subject: Re: Solving a Logarithm
In order to answer this question, you have to understand the
definition of a logarithm:
log(base p) q = r if and only if p ^ r = q.
[read p ^ r as "p raised to r-th power]
In other words, the logarithm represents the power to which
you need to raise the base to in order to give you the number
in front.
example: log(base 2) 32 = 5 ( why? because 2 ^ 5 = 32 )
Since you did not specify a base, by default it's 10 (some authors
take "e" as the default base)
Now you can write
log(base 10) a = -1.3
in the equivalent exponential form by using the definition
provided above, thus giving you the value of a.
-Doctor Luis, The Math Forum
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