Simplify the logarithmic expression ( log_{3}(9) - log_{3}(sqrt{3}) )

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Accepted Answer

Step:1 ：Step 1: Convert the logarithms into exponential forms. We know that ( log_{3}(9) ) is 2 because ( 3^{2} = 9 ). Also, ( log_{3}(sqrt{3}) ) is 0.5 because ( 3^{0.5} = sqrt{3} )Step:2 ：Step 2: Substitute the values from step 1 into the original expression. Therefore, the expression becomes ( 2 - 0.5 )Step:3 ：Step 3: Simplify the expression from step 2 to get the final result.

Answer

Step: 1 ：Step 1: Convert the logarithms into exponential forms. We know that ( log_{3}(9) ) is 2 because ( 3^{2} = 9 ). Also, ( log_{3}(sqrt{3}) ) is 0.5 because ( 3^{0.5} = sqrt{3} )Step: 2 ：Step 2: Substitute the values from step 1 into the original expression. Therefore, the expression becomes ( 2 - 0.5 )Step: 3 ：Step 3: Simplify the expression from step 2 to get the final result.

Simplify the logarithmic expression \( log_{3}(9) - log_{3}(\sqrt{3}) \)

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