Question

Log 50 na base 2 alguém poderia ajudar

Answer 1

Resposta:

Explicação passo-a-passo:

log$_{2}$50= x

$2^x=50\\\\log2^x=log50\\\\xlog(2)=log(5*10)\\\\xlog(2)=log5+log10\\\\xlog2=log5+1\\x= (log5+1)/log 2$

Answer 2

Resposta:

log₂ 50 =  log₂ 5²*2 = log₂ 5² + log₂ 2

=2* log₂  5 + 1

= 2* log 5/ log 2 +1

******log 2 = log 10/5 = log 10 -log 5 =1 - log 5

=2 * log 5/(1 - log 5)  +1  

=(2 * log 5+1-log 5)/(1-log 5)

=(1+log 5)/(1-log  5)