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Express each of the following in terms of $\\simplify{log(a)}$ and $\\simplify{log(b)}$

To write $\\simplify{log(a)}$, use log$a$ with brackets around the $a$.

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$\\simplify{log(ab)}$

$\\simplify{log({a}/{b})}$

$\\simplify{log(a^2b)}$

$\\simplify{log(sqrt(a))}$

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$\\simplify{log(1/a^2)}$

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$\\simplify{log(a*sqrt(b))}$

$\\simplify{log(a^3/b)}$

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$\\simplify{log(a^2/b^3)}$

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$\\simplify{log(sqrt(a/b))}$

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$\\simplify{log(1/ab^4)}$

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$\\simplify{log(root(a^2b,6))}$

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