Question

raiz quinta de 0,0016 sobre cubica de 0,008...

Answer 1

$log x = log \frac{ \sqrt[5]{ \frac{16}{10000} } }{ \sqrt[3]{ \frac{8}{1000} } } \\log x = log \sqrt[5]{ \frac{16}{10000} } - log \sqrt[3]{ \frac{8}{1000} } \\ log x = \frac{1}{5} .(log 2^{4}-log 10^{4}) - \frac{1}{3} .(log 2^{3}-log 10^{3}) \\ log x = \frac{1}{5} .(4.log 2 - 4.log 10) - \frac{1}{3} .(3.log 2 - 3.log 10) \\ log x = \frac{1}{5} .(4.0,3010-4.1)- \frac{1}{3} .(3.0,3010-3.1) \\ log x = -0,5592 + 0,699 \\ log x = 0,1398 \\ x = 10^{0,1398} \\ x = 1, 3797$

Espero ter ajudado.

Answer 2

x = ⁵√0,0016/ ³√0,008

x = (⁵√16/10000) / (³√8/1000)

x = (⁵√2⁴/10⁴)/(³√2³/10³)

log x = 1/5[log2⁴ - log10⁴] - 1/3[log2³ - log10³]

log x = 1/5[4log2 - 4log10] - 1/3[3log2 - 3log10] -------- log10 = 1

log x = 1/5[4.0,3010 - 4.1] - 1/3[3.0,3010 - 3.1]

log x = 1/5[1,204 - 4] - 1/3[0,903 - 3]

log x = 1/5[-2,796] - 1/3[-2,097]

log x = -0,559 + 0,699

log x = 0,14

x = 10⁰'¹⁴
x = 1,38