Question

Qual a definição dos valores dos logaritmos log 25 0,2

Answer 1

) log327 = x → 3x = 27 → x = 3 

b) log81x = 3/4 → x = 813/4 → x = (34)3/4 → x = 312/4 → x = 33 → x = 27 

c) log4√2 = x → 4x = √2 → 22x = √2 → 22x = 21/2 → 2x = 1/2 → x = 1/4 

d) logx8 = 2 → x2 = 8 → √x = √8 → x = 2√2 

e) log4(2x – 1) = 1/2 → 2x – 1 = 41/2 → 2x – 1 = √4 → 2x – 1 = 2 → 2x = 3 → x = 3/2 

f) log1818 = x → 18x = 18 → x = 1 

g) logx1024 = 2 → x2 = 1024 → √x² = √1024 → x = 32 

h) log40,25 = x → 4x = 0,25 → 4x = 25/100 → 4x = 1/4 → 4x = 4–1 → x = –1 

i) 16log25 = (24)log25 = (2log25)4 = 54 = 625 

j) log0,01 = x → 10x = 0,01 → 10x = 1/100 → 10x = 10–2 → x = –2 

explo;