Question

A soma das raízes da equação 10^x=\frac{\sqrt[x]{1000^5}}{100}

Answer 1

$10^x= \sqrt{ \frac{1000^5}{100}} \\ \\ 10^x= \sqrt{ \frac{[(10)^3]^5}{10^2} } \\ \\ 10^x= \sqrt{ \frac{10^{15}}{10^2} } \\ \\ 10^x=\sqrt{10^{13}} \\ \\ 10^x= 10^{\frac{13}{2} } \\ \\ x= \frac{13}{2}$