more evalutating logs

Front

What happens when you take the log of a negative number?

Back

You cannot take the log of a negative number; it is undefined.

Front

Can a logarithm have a base of 1?

Back

No, a logarithm cannot have a base of 1 because it does not produce unique results.

Front

Can a logarithm have a negative base?

Back

No, a logarithm cannot have a negative base as it leads to undefined or complex results.

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the logarithmic identity for multiplication?

Back

log_b(m * n) = log_b(m) + log_b(n) for any base b.

Front

What is the logarithmic identity for division?

Back

log_b(m / n) = log_b(m) - log_b(n) for any base b.

Front

What is the logarithmic identity for exponentiation?

Back

log_b(m^n) = n * log_b(m) for any base b.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any positive base k.

Front

What is the value of log_10(100)?

Back

The value is 2, because 10^2 = 100.