Question

Diketahui 5㏒2 = a 2㏒3 = b
berapa hasil 20㏒36 ?

Answer 1

5log2 = a
²log3 = b

20log36 = ²log36/²log20

= ²log(2 x 3²)/²log(2² x 5)

= ( ²log2 + 2 x ²log3 )/( 2 x ²log2 + ²log5 )

= ( 1 + 2b) / ( 2 + 1/a)

= a(1 + 2b)/(2a + 1)

= ( a + 2ab )/(2a + 1)