NO LINKS!! Please help me with these notes. Part 1a

Answers:

When we evaluate a logarithm, we are finding the exponent, or    power    x, that the     base   b, needs to be raised so that it equals the  argument   m. The power is also known as the exponent.

The value of b must be   positive     and not equal to   1  

The value of m must be   positive  

If 0 < m < 1, then x < 0

A   logarithmic         equation   is an equation with a variable that includes one or more logarithms.

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Explanation:

Logarithms, or log for short, basically undo what exponents do.

When going from to , we have isolated the exponent.

More generally, we have turn into

When using the change of base formula, notice how

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why

We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.