more evalutating logs

Front

Can a logarithm have a negative base?

Back

No, a logarithm cannot have a negative base.

Front

Can a logarithm have a base of 1?

Back

No, a logarithm cannot have a base of 1.

Front

Can you take the logarithm of a negative number?

Back

No, you cannot take the logarithm of a negative number.

Front

What is the domain of a logarithmic function?

Back

The domain of a logarithmic function is all positive real numbers.

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers.

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 given number.

Front

What is the logarithmic identity for changing the base?

Back

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

Front

What is the value of log_10(10)?

Back

1, because 10^1 = 10.

Front

What is the value of log_10(1)?

Back

0, because 10^0 = 1.

Front

What is the value of log_b(b)?

Back

1, because b^1 = b.