How do you expand $ln(8^5/7)^4$ ?

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Answer 1 · 2017-02-15T07:53:34

$ln(8^5/7)^4=20ln8-4ln7$

We can use the identities $lna^b=blna$ and $ln(a/b)=lna-lnb$

Hence $ln(8^5/7)^4$

= $4ln(8^5/7)$

= $4(ln8^5-ln7)$

= $4(5ln8-ln7)$

= $20ln8-4ln7$

How do you expand ln(8^5/7)^4ln(8^5/7)^4?