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Popular >

simplify 2^{log_{4}(8)}

Solution

simplify

2^{l o g_{4} (8)}

Solution

22

+1

Decimal Notation

2.82842 \dots

Solution steps

2^{l o g_{4} (8)}

lo g_{4} (8) = \frac{3}{2}

= 2^{\frac{3}{2}}

2^{\frac{3}{2}} = 2^{1 + \frac{1}{2}}

= 2^{1 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 2^{1} \cdot 2^{\frac{1}{2}}

Refine

= 22

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Frequently Asked Questions (FAQ)

What is 2^{log_{4}(8)} ?
The solution to 2^{log_{4}(8)} is 2sqrt(2)