Question

5 log 6 = ...

Answer 1

Looking for an approximation? Because that is already an exact value in simplified form.

Answer 2

Best off using a calculator if all you want is a decimal approximation. I can explain to you what that expression means and how to guess at about how big it'll be, but there really isn't much else to do with it.

Answer 3

Yes, please. I don't understand.

Answer 4

The logarithm function asks for the exponent. 'log' by itself with no base given is assumed to be base-ten, so log(6) asks, "what exponent do you have to put on a base of 10 for that power of 10 to equal 6?" After you find that, you then multiply by the 5 on the outside.

Answer 5

Since 6 is less than 10, the exponent has to be less than 1.

Answer 6

So after multiplying by 5, the answer will be a number less than 5.
Without a calculator, that's the best you can do without annoying root-finding algorithms.