SOLUTION: How do I write the mathematical definition for a logarithm, like for logb N?

Question 6829: How do I write the mathematical definition for a logarithm, like for
logb N?
Answer by prabhjyot(165) (Show Source): You can put this solution on YOUR website!
A logarithm (log) of a number x is defined by the following equations. If

then

log(x) = y.
Logarithms relationships . For example,
log(x) + log(y) = log(xy)
log(x) - log(y) = log(x/y)
log(1/x) = log(x-1) = -log(x)
log(xy) = y log(x)
Logarithm rules
Log x (ab) = Logx a + Log x b

Log x(a^b) = b Logx a

{"Log" with a subscript of x}
Example:
What's the log to the base 5 of 625? In
other words, find the value of:
Log5 625.

Well, since 5^4 = 625, the log (to the base 5) of 625 is 4.

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