Logarithms and Their Properties?

Question

1395 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-10T13:54:49

$log 0.001 root (5)p=-3+1/5n$
$log(0.00001times p^6/q^7)=-5+6n+7m$

If you just have plain "log", it means log base 10 ie $log_10$

$log 0.001 root (5)p$

Remember: $log ab=log a + log b$
= $log 0.001 + log root(5)p$

= $log 10^(-3)+log p^(1/5)$

Remember: $log_a a=1$ and $log_a b^n=n log_a b$ where n is a number
= $-3+1/5log p$

= $-3+1/5n$

$log(0.00001times p^6/q^7)$

Remember: $log a/b= log a - log b$
= $log 0.00001 + log p^6 + log q^7$

= $log 10^(-5) + log p^6 + log q^7$

= $-5+6log p+ 7 log q$

= $-5+6n+7m$