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Popular >

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

Solution

simplify

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

Solution

9

Solution steps

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

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

Apply exponent rule:

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

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

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

Apply log rule:

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

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

= 3^{2}

3^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

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