How do you evaluate #log_10 10,000#?

1 Answer
Mar 13, 2016

Answer:

#log_10 10,000 = 4#

Explanation:

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#

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