Question

Determine log³ x e log x³, sabendo que log x = 1/10?

Answer 1

se log x=1/10

 

 

a)

 

 

$<var>log^3 x=(\frac{1}{10})^3=\frac{1}{1000}</var>$ 

 

 

b$<var>log x=\frac{1}{10}\rightarrow x=10^{\frac{1}{10}}\rightarrow x^3=10^{\frac{3}{10}}</var>$)

 

$<var>log x^3=log 10^{\frac{10}{3}}=\frac{10}{3}\cdot log 10=\frac{3}{10}</var>$