Đặt log 2 60 = a ; log 5 15 = b . . Tính P = l o g 2 12 theo a và b.

\[a = lo{g_2}60 = lo{g_2}({2^2}.15) = 2 + lo{g_2}15 \Rightarrow lo{g_2}15 = a - 2\]

\[ \Rightarrow lo{g_2}5 = \frac{{lo{g_{15}}5}}{{lo{g_{15}}2}} = \frac{{lo{g_2}15}}{{lo{g_5}15}} = \frac{{a - 2}}{b}\]

\[b = lo{g_5}15 = lo{g_5}(3.5) = 1 + lo{g_5}3 \Rightarrow lo{g_5}3 = b - 1\]

\[lo{g_2}3 = lo{g_2}5.lo{g_5}3 = \frac{{a - 2}}{b}.(b - 1) = \frac{{ab - 2b - a + 2}}{b}\]

\[lo{g_2}12 = lo{g_2}({2^2}.3) = 2 + lo{g_2}3 = \frac{{ab - a + 2}}{b}\]

Đáp án cần chọn là: B