Jika 2 log 3 = a dan 3 log 5 = b ,nyatakan bentuk berikut dalam a dan b ! A. 2 log 15 B. 4 log 75 C. 25 log 36 D. 2 log 5 E. 30 log 150 F. 100 log 50 tolong bes

A.
[tex] \frac{^3\log{5}+^3\log{3}}{^3\log{2}} = a(b+1)[/tex]

B.
[tex] \frac{2(^3\log{5})+^3\log{3}}{2(^3\log{2})} = \frac{a(2b+1)}{2} [/tex]

C.
[tex] \frac{2(^3\log{2})+2(^3\log{3})}{2(^3\log{5})} = \frac{a+1}{ab} [/tex]

D.
[tex] \frac{^3\log{5}}{^3\log{2}}= \frac{b}{ \frac{1}{a} } \\ =b (\frac{a}{1}) \\ =ab[/tex]

E.
[tex] \frac{^3\log{3}+^3\log{5}+^3\log{2}}{^3\log{3}+^3\log{2}+2(^3\log{5})} = \frac{1+b+ \frac{1}{a} }{1+ \frac{1}{a}+2b } \\ = \frac{\frac{a+ab+1}{a}}{ \frac{a+1+2ab}{a} } \\ =\frac{a+ab+1}{a+1+2ab} [/tex]

F.
[tex] \frac{2(^3\log{5})+^3\log{2}}{2(^3\log{5})+2(^3\log{2})} = \frac{a^2b+1}{2ab+2} [/tex]