Question

Qual log de 25 na base 100(considere log5=0,699

Answer 1

㏒ 10 = 1
㏒ 5 = 0,699

25 = 5²
100 = 10²

$Log_{100}25=x\\\\x=\ Log \dfrac{5^2}{10^2} \\\\\\ x=\ \dfrac{2\ Log\ 5}{2\ Log\ 10}\\\\\\ x=\ \dfrac{2 \times 0,699}{2 \times 1} \\\\\\ x=\ \dfrac{1,398}{2} \\\\\\x=\ 0,699$


Forte abraço!

Answer 2

Resposta:

Explicação passo a passo:

log 10 = 1

log 5 = 0,699

25 = 5²

100 = 10²

log 25 na base 100 = x

x = log 5²/ log 10²

x = 2. log 5 / 2. log 10

x = 2. 0,699 / 2. 1

x = 1,398 / 2

x = 0,699