Question

determine o valor do numero x em cada uma das igualdades

Answer 1

Resposta:

a)x = 7

b) x = 1

c) x = 1

d) x = 2

Answer 2

Resposta:

a) x = 7

b) x = 1

c) x = 1

d) x = 2  

Explicação passo-a-passo:

$\sqrt[14]{2^{8} } = 2^{8/14}$ portanto = $\sqrt[x]{2^{4} } = 2^{4/x}$

$2^{4/7} = 2^{4/x}$   x = 7

$\sqrt[15]{10^{5} }$ = $10^{5/15}$ = $10^{1/3}$

$\sqrt[3]{10^{x}}$ = $10^{x/3}$

$10^{1/3}$ = $10^{x/3}$     x = 1

$\sqrt[8]{5^{4} }$  = $5^{4/8}$ = $5^{1/2}$

$\sqrt{5^{x} }$ = $5^{x/2}$

$5^{1/2}$ = $5^{x/2}$   x = 1

$\sqrt[10]{6^{x} }$  = $6^{x/10}$

$\sqrt[5]{6}$ = $6^{1/5}$

$6^{x/10}$ = $6^{1/5}$  

x/10 = 1/5

5x = 10

x = 2