To condense the given expression, we can use the properties of logarithms, specifically the quotient rule. The quotient rule states that [tex]\(\log_b(a) - \log_b(b) = \log_b\left(\frac{a}{b}\right)\)[/tex].
We are given:
[tex]\[
\log_3 6 - \log_3 4
\][/tex]
Using the quotient rule of logarithms:
[tex]\[
\log_3 6 - \log_3 4 = \log_3\left(\frac{6}{4}\right)
\][/tex]
Hence, the expression condenses into a single logarithm as:
[tex]\[
\log_3\left(\frac{6}{4}\right)
\][/tex]
