How do you expand $Ln( sqrt(a ^2 times b) /root4(b))$ ?

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Answer 1 · 2016-06-15T13:29:31

Use the rule $ln(a/n) = lna - lnn$ .

$= lnsqrt(a^2b) - lnb^(1/4)$

$= ln(a^2b)^(1/2) - lnb^(1/4)$

Use the rule $loga^n = nlog$ .

$= 1/2ln(a^2b) - 1/4lnb$

You can expand using the rule $ln(a xx b) = lna + lnb$ .

$=1/2(lna^2 + lnb) - 1/4lnb$

$= 1/2lna^2 + 1/2lnb - 1/4lnb$

It is possible to simplify further but that would involve compressing. I don't know what you want...

Hopefully this helps!

How do you expand Ln( sqrt(a ^2 times b) /root4(b))Ln( sqrt(a ^2 times b) /root4(b))?