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Popular >

simplify 2^{log_{4}(9)}

Solution

simplify

2^{l o g_{4} (9)}

Solution

3

Solution steps

2^{l o g_{4} (9)}

lo g_{4} (9) = lo g_{2} (3)

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

Apply log rule:

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

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

= 3

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Frequently Asked Questions (FAQ)

What is 2^{log_{4}(9)} ?
The solution to 2^{log_{4}(9)} is 3