Log of 10 base "b" where 'b' is defined as 1 to 10 in increments of 1

the question is simple, but i cannot figure it out in the book that they gave me, simple states how that there is log, log10 and log2, but doesnt really tell you how to change log base. Please show me the short code on how to solve this problem. It is for school BTW, and all i know is Log(base'b')(X)=log(base'e')(x) over log(base'b'(b) where be is all values between 1-10.

Answer 1

[Wayne King]

Well it seems you have it above:

    log2(8)

is just

     log(8)/log(2)

So you can get the log to an arbitrary base, b, log_b(x), by log(x)/log(b)

However, I think you are going to have an issue with log to the base 1...

Think about what would happen in the denominator above when you try to divide by log(1)