Respuesta :

Answer:

N = 4

Step-by-step explanation:

Using the law of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex], hence

[tex]log_{8}[/tex] N = [tex]\frac{2}{3}[/tex]

N = [tex]8^{\frac{2}{3} }[/tex] = ([tex]\sqrt[3]{8}[/tex])² = 2² = 4



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