Question

Вычмслите логарифм 2*log снизу 4 сверху 6 + 2* лог снизу 4 * 32/6

Answer 1

$2log _{4} 6+2log _{4} \frac{32}{6} =2(log _{4} 6+log _{4} \frac{32}{6} )=2(log _{4} (6* \frac{32}{6} ))= \\ =2log _{4} 32=2log _{2 ^{2} } 2 ^{5} =2* \frac{5}{2} log _{2} 2=5*1=5$

Answer 2

$2log_{4}6+2log_{4} \frac{32}{6} = 2(log_{4}6+log_{4} \frac{32}{6}) = 2log_{4}32= log_{2}32=5$