Evaluate: `2^(log_(3)5)-5^(log_(3)2)`

Explanation

To evaluate the expression \( 2^{\log_{3} 5} - 5^{\log_{3} 2} \), we can use the properties of logarithms and exponents. Let's go through the steps:

### Step 1: Rewrite the expression using the change of base property
We know that \( a^{\log_{b} c} = c^{\log_{b} a} \). Therefore, we can rewrite \( 2^{\log_{3} 5} \) as follows:

\[ 2^{\log_{3} 5} = 5^{\log_{3} 2} \]
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