en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4^{log_{2}(n)+1}

Solution

simplify

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

Solution

4 n^{2}

Solution steps

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

Apply exponent rule:

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

4^{l o g_{2} (n) + 1} = 4^{l o g_{2} (n)} \cdot 4

= 4^{l o g_{2} (n)} \cdot 4

Factor the number:

4 = 2^{2}

= (2^{2})^{l o g_{2} (n)} \cdot 4

Apply exponent rule:

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

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

= 2^{2 l o g_{2} (n)} \cdot 4

Apply exponent rule:

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

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

= (2^{l o g_{2} (n)})^{2} \cdot 4

Apply log rule:

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

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

= n^{2} \cdot 4

= 4 n^{2}

Popular Examples

rationalize 3/(2sqrt(3))rationalize

\frac{3}{2 3}

simplify a^2a^3 simplify

a^{2} a^{3}

simplify 5^{2.5}simplify

5^{2.5}

simplify (-(3-x)^{1/2})^2 simplify

(- (3 - x)^{\frac{1}{2}})^{2}

simplify 4.98*10^{15}*e^{0.47(2000-2010)}simplify

4.98 \cdot 1 0^{15} \cdot e^{0.47 (2000 - 2010)}

Frequently Asked Questions (FAQ)

What is 4^{log_{2}(n)+1} ?
The solution to 4^{log_{2}(n)+1} is 4n^2