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Popular >

simplify 2^{log_{2}(n)+1}

Solution

simplify

2^{l o g_{2} (n) + 1}

Solution

2 n

Solution steps

2^{l o g_{2} (n) + 1}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{l o g_{2} (n) + 1} = 2^{l o g_{2} (n)} \cdot 2

= 2^{l o g_{2} (n)} \cdot 2

Apply log rule:

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

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

= n \cdot 2

= 2 n

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Frequently Asked Questions (FAQ)

What is 2^{log_{2}(n)+1} ?
The solution to 2^{log_{2}(n)+1} is 2n