Flashcard 3 - Mathematics Knowledge Flashcard Set for the ASVAB

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The correct answer is:

Equate the arguments: \(2x = x + 5\)


Explanation:

The expression \(\text{log}_5{(2x)}\) can only be equal to \(\text{log}_5{(x+5)}\) if \(2x = x+5\).
Thus,

\[2x = x + 5\] \[x = 5\]

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