Calculate: log_{10}(2)-log_{10}(3)

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Expression: $\log_{ 10 }({ 2 })-\log_{ 10 }({ 3 })$

Use $\log_{ a }({ x })-\log_{ a }({ y })=\log_{ a }({ \frac{ x }{ y } })$ to simplify the expression

$\begin{align*}&\log_{ 10 }({ \frac{ 2 }{ 3 } }) \\&\approx-0.176091\end{align*}$

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