Answer
See explanations.
Work Step by Step
Step 1. Using the base-change property, we have
$log_{14}283=\frac{log283}{log14}$ or $log_{14}283=\frac{ln283}{ln14}$
Step 2. Use the $log$ or $ln$ functions from a calculator to evaluate the numerators and denominators.
Step 3. Calculate the ratio.