Suppose that $$ \ln 2=s $$ and $$ \ln 3=t $$. Use properties of logarithms to write the logarithm in terms of 5 and $$ t $$. $$ \ln 6 $$

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Given that $$ \ln 2 = s $$ and $$ \ln 3 = t $$, we want to express $$ \ln 6 $$ in terms of $$ s $$ and $$ t $$.

First, observe that $$ 6 $$ can be factored into $$ 2 \times 3 $$. Using the property of logarithms that states $$ \ln(ab) = \ln a + \ln b $$, we have:

$$
\ln 6 = \ln(2 \times 3) = \ln 2 + \ln 3
$$

Substituting the given values:

$$
\ln 6 = s + t
$$

**Answer:** $$ \ln 6 = s + t $$
$$ \ln 6 = s + t $$

Suppose that and . Use properties of logarithms to write the logarithm in terms of 5 and .

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