Question

Explore the limitations of the values of b and x in equations of the form logbx=L by determining which logarithm is undefined.(1 point) Responses log51 logarithm subscript 5 baseline 1 log50 logarithm subscript 5 baseline 0 log1319 logarithm subscript Start Fraction1 over 3 End Fraction baseline Start Fraction 1 over 9 End Fraction log2.56.25

Answer 1

The logarithm is undefined for any values of b and x such that:
1. b <= 0 (since the logarithm of a non-positive number is undefined)
2. x <= 0 (since the logarithm of a non-positive number is undefined)
3. b = 1 (since the logarithm of 1 to any base is always 0)

Based on these limitations, the logarithm log1319 is undefined because the base 13 is greater than 9. The logarithm log2.56.25 is also undefined, as 2.56.25 is not a valid number.