How do you express in terms of ln2 and ln3 given $ln sqrt13.5$ ?

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Answer 1 · 2016-07-03T23:03:55

$ln sqrt(13.5) = 3/2ln3 - 1/2ln2$

$ln sqrt(13.5) = ln sqrt(3^3/2)$

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

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

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

$= 3/2ln3 - 1/2ln2$

How do you express in terms of ln2 and ln3 given ln sqrt13.5ln sqrt13.5?