Question

determine o valor do número natural x maior ou igual a 2 nas expressões abaixo​

Answer 1

Resposta:

Explicação passo a passo:

$a) \ \sqrt[15]{2^{10} } =\sqrt[x]{2^{2} }\\2^{\frac{10}{15} } =\sqrt[x]{2^{2} }\\x^{\frac{2}{3} } =\sqrt[x]{2^{2} }\\\sqrt[3]{2^{2} } =\sqrt[x]{2^{2} }\\x=3\\\\\b) \ \sqrt[6]{13^{9} } =\sqrt[2]{13^{x} }\\13^{\frac{9}{6} } =\sqrt[2]{13^{x} }\\13^{\frac{3}{2} }= \sqrt[2]{13^{x} }\\\sqrt[2]{13^{3} }=\sqrt[2]{13^{x} }\\x=3\\c)\sqrt[x]{\sqrt[3]{7} }= \sqrt[15]{7}\\\sqrt[3x]{7}=\sqrt[15]{7} \\3x=15\\x=5\\\\d)\sqrt[9]{6}=\sqrt[3]{6^{x} }\\6^{\frac{6}{9} }= 6^{\frac{x}{3} }\\\frac{6}{9}=\frac{x}{3}\\x=2$