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Popular >

simplify 3^{4log_{3}(2)}

Solution

simplify

3^{4 l o g_{3} (2)}

Solution

16

Solution steps

3^{4 l o g_{3} (2)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

3^{4 l o g_{3} (2)} = (3^{l o g_{3} (2)})^{4}

= (3^{l o g_{3} (2)})^{4}

Apply log rule:

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

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

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is 3^{4log_{3}(2)} ?
The solution to 3^{4log_{3}(2)} is 16