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Popular >

simplify 3^{log_{81}(16)}

Solution

simplify

3^{l o g_{81} (16)}

Solution

2

Solution steps

3^{l o g_{81} (16)}

lo g_{81} (16) = lo g_{3} (2)

= 3^{l o g_{3} (2)}

Apply log rule:

a^{l o g_{a} (b)} = b

3^{l o g_{3} (2)} = 2

= 2

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Frequently Asked Questions (FAQ)

What is 3^{log_{81}(16)} ?
The solution to 3^{log_{81}(16)} is 2