3)
a) log 6 = log2.3 = log2 + log3 = 0,3012 + 0,4771= 0,7783
b) log 1,5= log(3/2) = log3 - log2 = 0,4771 - 0,3112 = 0,1659
c)log 16= = log2^2 = 2log2 = 2(0,3012) = 0,6024
d) log 4√3 = log(2^2.3^1/2) = 2log2 + 1/2log3 = 2(0,3012) + 1/2(0,4771) = 0,8410
4)
log2(a² - b² ) = log2(a - b)(a + b) = log2(a - b) + log2(a + b)
log2(a - b) = m
a + b = 8 = 2^3
= m + log2 2^3
= m + 3log2 2
= m + 3
log2(a² - b² ) = m + 3
5)
log4 (x^2 - x) = 1/2
x^2 - x = 4^1/2
x^2 - x = 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0 x1 = 2 x2 = -1
Alternativa a)