Question

1. $10^3 = 1,000$ as a logarithmic equation. (5 points) \\(\circ\\) $\log_{1,000} 3 = 10$ \\(\circ\\) $\log_{10} 3 = 1,000$ \\(\circ\\) $\log_{10} 1,000 = 3$ \\(\circ\\) $\log_{3} 1,000 = 10$

Explanation:

Step1: Recall exponent-log conversion rule

For $b^y = x$, $\log_b x = y$

Step2: Match values to the rule

Here $b=10$, $y=3$, $x=1000$. Substitute into $\log_b x = y$:
$\log_{10} 1000 = 3$

Answer:

$\log_{10} 1,000 = 3$