Question

Me Salllllllllvvvvvaaaaaaaaa
Resolva a equação:

Answer 1

Ola Beatrix

logx(4) + log2(x) = 3

log(4)/log(x) + log(x)/log(2) = 3

log(4)*log(2) + log²(x) = 3log(2)*log(x)

y = log(x) e log(4)*log(2) = 2log²(2)

y² - 3log(2)y + 2log²(2) = 0

delta
d² = 9log²(2) - 8log²(2) = log²(2)
d = log(2)

y1 = (3log(2) - log(2))/2 = log(2) 
y2 = (3log(2) + log(2))/2 = 2log(2) = log(4)

y = log(x) 

x1 = 2, x2 = 4 

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