Final answer:
The equivalent logarithmic statement for a = 500 is log10 500 = 3.
Step-by-step explanation:
The equivalent logarithmic statement for a = 500 is log10500 = 3.
In logarithmic notation, the number being raised to a power is called the base, and the result of the exponentiation is the number. In this case, the base is 10, the logarithm is 3, and the number is 500.
To understand this, note that 10 raised to the power of 3 equals 1,000, which is the same as 500. Therefore, log10500 = 3.