How do you evaluate $log_10 10,000$ ?

Question

1841 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-13T21:33:56

$log_10 10,000 = 4$

Given: $" "log_10(10000)$

Let $" "y=log_10(10000)$

Then another way of writing this is:

$10^y=10000$

But $10^4=10000$

So $y=4$

Thus $log_10 10,000 = 4$

Basically: count the 10's as $10,000 = 10xx10xx10xx10$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

How do you evaluate log_10 10,000log_10 10,000?