Question

Which of the following logarithmic expressions is undefined?(1 point)
Responses

log2.56.25
logarithm subscript 2.5 baseline 6.25

log327
logarithm subscript 3 baseline 27

log3−9
logarithm subscript 3 baseline negative 9

log0.2564

Answer 1

To determine which logarithmic expression is undefined, we need to consider the properties of logarithms:

1. The logarithm of a positive number is defined.
2. The logarithm of zero or a negative number is undefined.

Now let's analyze each of the given expressions:

1. **log₂(6.25)**: This is defined because 6.25 is positive.
2. **log₃(27)**: This is defined because 27 is positive.
3. **log₃(-9)**: This is undefined because -9 is negative.
4. **log₀(256)**: This is undefined because 0 is not a valid base for logarithm.

The logarithmic expression that is undefined is **log₃(-9)**.