Final answer:
The algebraic expression log base 8 of 1 would evaluate to 0, since any number to the power 0 gives 1. Moreover, the use of scientific notation is key for representing very large or small numbers, and the number of significant figures is important for indicating the precision of a measurement.
Step-by-step explanation:
The question involves evaluating an algebraic expression using logarithms. The concept of logarithms is a significant topic in mathematics, particularly when dealing with exponents and scientific notation. The expression given, log 8₈17, seems to be incorrectly formatted, but given the context, we can interpret it as attempting to find the logarithm of 1 to the base 8. Since any logarithm of 1 to any base is 0, the answer to that expression would be (a) 1.
In addition, the use of scientific notation and significant figures is crucial when representing large or small numbers and when expressing the precision of measurements, respectively. It is important to know that when performing calculations, the resulting number should have the same number of significant figures as the number in the calculation with the least significant figures.