<s>[INST] Write the expression in terms of $\log{a}$ and $\log{b}$ Write in terms of $\log{a}$ and $\log{b}$ : $\log{\frac{a^3}{b^4}}$?
using log laws $log(\frac{x}{y})$ = $\log{x} - \log{y}$
$\log{\frac{a^3}{b^4}} = \log{a^3} - \log{b^4}$
and using log law that $\log{x^y} = y\log{x}$
$\log{a^3} = 3 \log{a}$ & $\log{b^4} = 4\log{b}$
therefore $\log{\frac{a^3}{b^4}} = 3\log{a} - 4\log{b}$
does that seem correct? please show your solution.
 [/INST] It seems correct, you used well the logarithm laws.
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