1. **State the problem:** Simplify the expression $5^{1 - \log_5 3}$.
2. **Recall the properties of logarithms and exponents:**
- The logarithm base 5 of 3 is $\log_5 3$.
- The exponent rule: $a^{m-n} = \frac{a^m}{a^n}$.
3. **Rewrite the expression using the exponent rule:**
$$5^{1 - \log_5 3} = \frac{5^1}{5^{\log_5 3}}$$
4. **Simplify the denominator:**
Since $5^{\log_5 3} = 3$ (because $a^{\log_a b} = b$), we have:
$$\frac{5}{3}$$
5. **Final answer:**
The expression simplifies to $\frac{5}{3}$.
Therefore, the correct choice is A. 5/3.
Exponent Logarithm 00C7E6
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