Plisss tolong yah, lupa cara kerjanya Jika 9log16 = a , nyatakan logaritma berikut dalam a! A. 2log 3 B. 3log 8 C. 0,5log 12 D. 6 log 24

jawab

⁹log 16 = a
³^²log 2⁴ = a
(4/2). ³log 2 = a
³log 2 = a/2

a. ²log 3 = 1/ (³log 2) =  2/a

b. ³log 8 = ³log 2³ = 3 (³log 2)= 3(a/2) = 3/2 a

c. ¹/²log 2². 3 = ²^⁻¹log2² + ²^⁻¹log 3
= (-2)²log 2  - ²log 3
=  -2  - 2/a

d. ⁶log 24 = ³log 24/³log 6
= ³log 2³. 3 / ³log 2.3

= (3.³log 2 + ³log 3 ) / (³log 2+ ³log 3)
= (3(2/a) + 1) / ( 2/a + 1)
= (6/a + 1)/ (2/a + 1) ...kalikan a/a
= (6 + a)/(2 + a)