Question

valor exato de 8 elevado a 0,6666

Answer 1

8^0,6666= 3.999 ≈ 4
Não há valor exato.
x= 8^0,6666
x= 8^6/9
x= 8^2/3 (2/3=0,666..)
log x = ( 2 / 3 ) * log 8 
log x = ( 2 / 3 ) * log 2³ 
log x = ( 2 / 3 ) * 3 * log 2 
log x = [ ( 2 / 3 ) * 3 ] * log 2 
log x = [ 2 * ( 3 / 3 ) ] * log 2 
log x = 2 * log 2 
log x = log 2² 
x = 2² = 4