Question

Comeo resolve isso? log10√1000

Answer 1

Resolução:

$Log_{10}^{ \sqrt{1000} }=x \\ \\ \sqrt{1000} = 10^x \\ \\ 1000^{ \frac{1}{2}}= 10^x \\ \\ (10^3)^ \frac{1}{2}=10^x \\ \\ 10^ \frac{3}{2}=10^x \\ \\ \boxed{x= \frac{3}{2}}$

Answer 2

Resolução da questão, veja:

$\\ \displaystyle \mathsf{log_{10}^~{\sqrt{1000}}}=x}}}\\\\\\\\ \\ \displaysttle \mathsf{10^{x}=\sqrt{1000}}\\\\\\\\ \\ \displaystyle \mathsf{\diagup\!\!\!{10}^{x}=\diagup\!\!\!{10}^{3~\cdot~\frac{1}{2}}}\\\\\\\\\ \\ \displaystyle \mathbf{x = \dfrac{3}{2}}}}$

Espero que te ajude. (^.^)