How do you evaluate $log 10, 000$ $log 10,000$ ?

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Answer 1 · 2018-04-07T14:16:20

$4$ $4$

We got:

$log 10, 000$ $log10,000$

The general base of a $log$ $log$ is $10$ $10$ , so we got:

$= {log}_{10} (10, 000)$ $=log_10(10,000)$

Let $x = {log}_{10} (10, 000)$ $x=log_10(10,000)$

Then we have:

$10^{x} = 10, 000$ $10^x=10,000$

But we know that, $10, 000 = 10^{4}$ $10,000=10^4$ .

$\Leftrightarrow 10^{x} = 10^{4}$ $<=>10^x=10^4$

$:.x=4$

How do you evaluate log 10,000log10,000log 10,000?