Is the Unspecified Base of a Logarithm Assumed to Be 10?

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Homework Help Overview

The discussion revolves around the interpretation of a logarithmic expression, specifically the notation used and the assumptions regarding the base of the logarithm. The original poster presents an expression involving logarithms and exponents, prompting questions about the base of the logarithm and the correct interpretation of the expression.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the need for parentheses to clarify the expression. There is a focus on whether the logarithm is base 10, with some participants questioning the assumptions about the base when it is not explicitly stated.

Discussion Status

The discussion is ongoing, with participants providing feedback on the clarity of the expression and raising questions about the base of the logarithm. Some guidance on properties of logarithms has been suggested, but there is no consensus on the interpretation of the expression yet.

Contextual Notes

There is a lack of explicit information regarding the base of the logarithm, which is central to the discussion. Participants are navigating the ambiguity of the notation and its implications for solving the problem.

ohhnana
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Homework Statement



10^-10log3

Homework Equations





The Attempt at a Solution


(3)10^-10log
 
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Your first expression doesn't mean much until you add some parentheses. Your solution means even less. What the numerical value of 'log'??
 
that's the question that was given , I'm guessing the log value is 10
 
it's telling me to find the value
 
You're not listening -- you need parentheses. Do you mean
10^{-10\log 3}
or
10^{-10}\log 3
or neither?
 
i mean <br /> 10^{-10\log 3}<br />
 
Use the properties of logarithms.
For starters, log ab = b * log a
 
Is that logarithm base 10?
 
HallsofIvy said:
Is that logarithm base 10?

It's been my experience that, at this level, a logarithm without a specified base is generally the decimal logarithm.
 

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