Question

5 log 75 - 3 log 54 - 5 log 3 + 3 log 2 = ?

Answer 1

5 log 75 - 3 log 54 - 5 log 3 + 3 log 2 =
= (5 log 3x25) - (3 log 2x27) - 5 log 3 + 3 log 2
 {sifat logaritma p log a.b = p log a + p log b}
= 5 log 3 + 5 log 25 - 3 log 2 + 3 log 27 - 5 log 3 + 3 log 2
= 5 log 3 - 5 log 3 - 3 log 2 + 3 log 2 + 5 log 5^5 + 3 log 3^3 
{kelompokkan}                                   {sifat logaritma a log a^n = n . a log a}
= 5 + 3
= 8