How do you evaluate #log_10 10,000#?

Question

1425 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-13T21:33:56

#log_10 10,000 = 4#

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#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~