Question

Oblicz x jesli: log2√2 x=-3 Oblicz: log2√2 4√8 2√2 powninny byc małymi literkami na dole słowa log.

Answer 1

log 2 p(2) [ x ] = -3  <=> x = [ 2 p(2)] ^ (-3) = 1 / [ 2 p(2)]^3 = 1/(16 p(2))

Dalej nie bardzo wiadomo o co chodzi ?

log 2 [ p(2)] = 1/2 , bo  2 ^(1/2) = p(2)

log 4 [ p(8)] = log 4 [ 2 p(2)]  = log 4 [2] + log 4 [ p(2)] = 1/2 + 1/4 = 3/4

log 2 [ p(2)] = 1/2