Question

2log 3 = a dan 3log 5 = b, berapa 12log 30 dalam a dan b?

Mohon bantuannya:)

Answer 1

12Log 30 = 3log30 / 3log 12
         = 3log (2 x 3 x 5) / 3log (2² x 3)
   = (³log 2 + ³log3 + ³log 5) / (2 x ³log2 + ³log 3)
 = (1/a + 1 + b) / ( 2/a + 1)
 = ( (1/a + a/a + ba/a) /(2/a + a/a))
= ( 1 +a +ba) / (2 + a)

Answer 2

12Log 30 = 3log30 / 3log 12
                  = 3log (2 x 3 x 5) / 3log (2² x 3)
                  = (³log 2 + ³log3 + ³log 5) / (2 x ³log2 + ³log 3)
                  = (1/a + 1 + b) / ( 2/a + 1)
                  = ( (1/a + a/a + ba/a) /(2/a + a/a))
                  = ( 1 +a +ba) / (2 + a)