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The logarithm of x, written log(x), tells you the power to which you would raise 10 to get x. So, if y=log(x), then x=10^y. It is easy to take the logarithm of a number such as 10^2 because you can directly see what power 10 is raised to. That is, log(10^2)=2. What is the value of log(1,000,000)?

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Answer:

6

Explanation:

The function which is inverse to exponentiation is called logarithm.

It is of the form

[tex]log\ x=y\\\Rightarrow log_{10}\ x=y\\\Rightarrow 10^y=x[/tex]

The 10 here is the base of the logarithm. The logarithm with base 10 is called common logarithm

[tex]log_{10}1000000=y\\\Rightarrow 10^y=1000000\\\Rightarrow 10^6=1000000\\\Rightarrow y=6[/tex]

So, log(1,000,000) = 6

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