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

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Answer 1 · 2016-05-04T23:15:07

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

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

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

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

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

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