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What is the value of log base a of 1, for any allowed base a?
AIt equals 0
BIt equals 1
CIt equals a
DIt is undefined
Answer & Solution
Correct answer: A. It equals 0
1. A logarithm answers the question of what exponent the base needs.
2. Any allowed base raised to the power 0 gives 1.
3. So the exponent needed to reach 1 is 0, which makes log base a of 1 equal to 0.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), section 10.4 Use the Properties of Logarithms_