Rewriting expression of logarithm

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Homework Help Overview

The discussion revolves around rewriting a logarithmic expression, specifically log55x2, as a sum, difference, or multiple of logarithms. The subject area involves properties of logarithms.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the properties of logarithms, particularly focusing on how to manipulate the expression log55x2. There are attempts to apply logarithmic identities, and one participant suggests substituting values to clarify the problem.

Discussion Status

Some participants have provided guidance on the steps to take, with one suggesting a substitution to facilitate understanding. There appears to be a progression in the discussion, with participants building on each other's contributions without reaching a definitive conclusion.

Contextual Notes

Participants are navigating the rules of logarithmic expressions and may be working under homework constraints that limit the methods they can use. There is an emphasis on ensuring the correct application of logarithmic properties.

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Homework Statement


Rewrite the expression as a sum, difference or multiple of logs.

log55x2

Homework Equations





The Attempt at a Solution



log55x2 =
2log55x =
...
 
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That's not the right first, step. What do you know about the addition of logs? If that doesn't help, substitute a = 5 and b = x2 and re-ask my question.

The Bob
 
ooh~
log55 + log5x2 =
1+log5x2 =
1 + 2log5x2!
thank you so much
 
Make that 1 + 2log5x and you're there.
 

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