Subjects algebra

Power Logarithm F9141F

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Power Logarithm F9141F


1. The problem is to simplify the expression $5^{\log_5(2)}$. 2. We use the property of logarithms and exponents: $a^{\log_a(b)} = b$ for any positive $a \neq 1$. 3. Applying this property here, since the base of the exponent and the base of the logarithm are the same (5), we get: $$5^{\log_5(2)} = 2$$ 4. This means the expression simplifies directly to 2. 5. So, the final answer is $2$.