Uji Kompetensi Akhir Bab 1 : Bentuk Pangkat, Akar, dan Logaritma
Matematika Sukino Kelas X KTSP 2006
32.
(3 log3 45) . (3 log3 5)
----------------------------------- = ...
4 + 3 log 45 . 3 log 5
a. 2 3 log 5
b. 2 (1 + 3 log 5)
c. 2
d. 2 (1 + 5 log 3)
e. 5log 3
Jawaban :
(3 log3 45) . (3 log3 5)
-----------------------------------
4 + 3 log 45 . 3 log 5
=
(3 log3 9. 5) . (3 log3 5)
-----------------------------------
4 + 3 log (9.5) . 3 log 5
=
(3 log3 9 + 3 log3 5) . (3 log3 5)
------------------------------------------------
4 + (3 log 9 + 3 log5) . 3 log 5
=
(3 log3 3^2+ 3 log3 5) . (3 log3 5)
------------------------------------------------
4 + (3 log 3^2 + 3 log5) . 3 log 5
=
( 2^3 3 log3 3 + 3 log3 5) . (3 log3 5)
------------------------------------------------
4 + (2 . 3 log 3 + 3 log5) . 3 log 5
=
( 8 + 3 log3 5) . (3 log3 5)
------------------------------------------
4 + (2 + 3 log5) . 3 log 5
=
8 3 log3 5 + 3 log6 5
-------------------------------------
4 + 2 3 log5 + 3 log3 5
**sepertinya tidak ada jawaban di pilihan**
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