Question

Sabendo que log 2 = 0,3 , log 3 = 0,47 , log 5 = 0,69. Calcule log √2

Answer 1

log 30 = log(2.3.5)= log2+log3+log5 = 0,31+0,47+0,69 = 1,47 
log 6 = log(2.3) = log2+log3 = 0,31+0,47 = 0,78 
log ⁶√15 = log15/6 = log(3.5)/6 = log3+log5/6 = 0,47+0,69/6 = 1,16/6 = 0,193 
log 3 5 = log5/log3 = 0,69/0,47 = 1,468 
log 9 125 = log125/log9 = log5³/log3² = 3.log5/2.log3 = 3(0,69)/2.(0,47)= 2,07/0,94=2,202

Answer 2

Log √2

= Log 2¹/²

= 1/2 * Log 2

= 1/2 * 0,3

= 0,15