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I was trying to make the thing tighter, but I don’t know how to expand $log_ab*log_ac$. What should I do? Specific problem: ${ln(3)}^2$

Math Lover
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    There is no simple formula for a product of logarithms. There is a simple formula for sum of logarithms $\log_a(x)+\log_a(y) = \log_a(xy)$; there is a simple formula for the product of exponentials $a^x a^y = a^{x+y}$. – GEdgar Feb 04 '19 at 13:48

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You cannot simplify further: using the change of base rule, you have:

$$\frac{\log b}{\log a} \cdot \frac{\log c}{\log a}$$ $$= \frac{\log b \log c}{\log^2 a}$$

Toby Mak
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