### Instruction: The value of $\log_{10}{28471}$ is between the consecutive integers $a$ and $b$.  Find $a+b$.### Response: To find the value of $\log_{10}{28471}$, I need to think of what power of 10 gives me 28471.
I know that $10^4 = 10000$ and $10^5 = 100000$, so $\log_{10}{28471}$ must be between 4 and 5.