Page 56 - Dwi Nurul Maulinisa-21201004-MuPM-3BP-Buku Matematika SMK Kelas X Semester 1
P. 56
KUNCI JAWABAN
BAB 1 EKSPONEN DAN LOGARITMA
√3 √3 2×√3
1. = ×
2×√3 2×√3 2×√3
2√3−3
=
4−3
= 2√3 − 3
3 −2
2 .3
4
3
−2
2. = 2 . 3 . 2. 3
.3
2 −1 −4
= 2 3+1 . 3 −2+4
2
= 2 . 3
4
3. √2−√3 = √2−√3
2+√3 √2−√3
2−2√6+3
=
2−3
5−2√6
=
−1
= −5 + 2√6
Jadi a = -5 dan b = 2, sehingga a + b = -5 + 2 = -3
2
2
4. log 3 − log 6 + log 8 = log[(3: 6) × 8]
2
2
2
= log 4
2
2
= log 2
= 2 log 2
2
= 2
4
5. log 15 = log 15
log 4
3
log 15
=
3
log 4
3
3
log 3+ log 5
=
3
log 2 2
3
3
log 3+ log 5
=
3
2. log 2
3
3
log 3+ log 5
=
2
2.1/( log 3)
1+
=
2.1/
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