How do you calculate log_10 10000?

Mar 13, 2018

${\log}_{10} 10 , 000 = 4$

Explanation:

In this form, the question to ask is:

"What power of 10 will give 10,000?"

${\log}_{10} 10 , 000 = x \text{ } \leftarrow$ this is log form.

Change to index form,

${10}^{x} = 10000$

${10}^{x} = {10}^{4}$

$\therefore x = 4$

So you know $10 , 000$ is the 4th power pf $10$ and this is the answer we wanted:

${\log}_{10} 10 , 000 = 4$