Question

Qual a resposta de log 2√2 base 8

Answer 1

Vamos lá :

log (8) 2√2 = x

log (2³) = 2¹.2^{1/2} = x

log (2³) 2^{ 1/2 + 1} = x

log (2³) 2^{3/2} = x

(2³)ˣ = 2^{3/2}
2³ˣ = 2^{3/2}

3x = 3/2
x = 3/2 / 3
x = 3 : 3/6 : 3
x = 1/2

Espero ter ajudado !!!