How do you calculate #log_10 10000#?

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Answer 1 · 2018-03-13T22:43:59

#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" "larr# this is log form.

Change to index form,

#10^x = 10000#

#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#