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How do you express in terms of ln2 and ln3 given ##ln 3 sqrt 2##?

##ln(3sqrt(2)) = ln(3) + 1/2ln(2)##

Using the properties that ##ln(ab) = ln(a) + ln(b)## and ##ln(a^x) = xln(a)##, we have:

##ln(3sqrt(2)) = ln(3)+ln(sqrt(2))##

##=ln(3) + ln(2^(1/2))##

##=ln(3) + 1/2ln(2)##

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