Show that the following statement is true.

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The discussion focuses on proving the equation 3/log2^a - 2/log4^a = 1/log1/2^a. Participants suggest using logarithmic properties, specifically the rule that log_a(b^c) = c·log_a(b), to simplify the terms. Additionally, the relationship 1/a^c = a^{-c} is highlighted as a useful transformation. The goal is to manipulate the equation to demonstrate its validity. The conversation emphasizes the importance of applying these logarithmic rules effectively to reach the solution.
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Homework Statement



<br /> <br /> 3/log2^a-2/log4^a=1/log1/2^a<br /> <br />
Show that the following statement is true

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The Attempt at a Solution


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Use the rule that

\log_a\left(b^c\right)=c\cdot\log_a\left(b\right)

to simplify things, and also remember that

\frac{1}{a^c}=a^{-c}
 
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