How do you solve $log_10 30$ ?

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Answer 1 · 2016-01-21T16:58:29

$1.4771$

You could just plug this into a calculator as $log30$ .

Note that the $log$ button on a calculator implies a base of $10$ , so typing $log30$ is the same as $log_10 30$ .

This gives $log_10 30=1.4771$

Another way to simplify this is to write $30$ as $10xx3$ .

$log_10 30=log_10 ((10)3)$

Use log rules to expand this: $log_c(ab)=log_ca+log_cb$

$log_10 30=log_10 10+log_10 3$

Since $log_10 10=1$ ,

$log_10 30=1+log_10 3$

How do you solve log_10 30log_10 30?