How do you calculate ${log}_{10} 10000$ $log_10 10000$ ?

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Answer 1 · 2018-03-13T22:43:59

${log}_{10} 10, 000 = 4$ $log_10 10,000 = 4$

In this form, the question to ask is:

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

${log}_{10} 10, 000 = x \leftarrow$ $log_10 10,000 =x" "larr$ this is log form.

Change to index form,

$10^{x} = 10000$ $10^x = 10000$

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

$:. x =4$

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

$log_10 10,000 = 4$

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