Question

Se log2 √x - log2 1/x = -1 , então log4x é igual a:

Answer 1

Oi Maria

log2(√x) - log2(1/x) = -1

log2(√x) + log2(x) = -1

log2(x)/2 + log2(x) = -1

3log2(x)/2 = -1

3log2(x) = -2 

log2(x) = -2/3 

log(x)/log(2) = -2/3
log(x) = -2log(2)/3

log4(x) = log(x)/log(4) = log(x)/2log(2) 

log4(x) = -2log(2)/6log(2) = -1/3