SOLUTION: how do i solve for m and n when m and n are integers in the following equation: m < log57 < n

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Question 344252: how do i solve for m and n when m and n are integers in the following equation:
m < log57 < n
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Once you really understand what logarithms are, problems like this become much easier. In short, logarithms are exponents.

For example, log%28%2857%29%29 represents the exponent for 10 (since the base of "log" is 10) which results in 57. So your problem, reworded, is:
Between what integers is the exponent for 10 that results in 57?
Since 10%5E1+=+10 and 10%5E2+=+100 and since 57 is between 10 and 100, 1+%3C+log%28%2857%29%29+%3C+2