Log_(10)(10.000)What does this equals

Question

`log_(10)(10.000)`What does this equals

Answer 1

EXPLANATION

Factor the nuber 10,000:

`10,000=10^4`

Therefore,

`\log _(10)10,000=\log _(10)(10)^4`

Applying the log rule:

`\log _a(a^x)=x`

Hence,

`\log _(10)(10^4)=4`

The answer is 4