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Jika ²log x = 3
Tentukan nilai x = ….
Jawab:
²log x = 3
x = 2³
x = 8.
2.
Jika ⁴log 64 = x
Tentukan nilai x = ….
Jawab:
⁴log 64 = x
4x = 64
4x = 4⁴
x = 4.
3.
Nilai dari ²log 8 + ³log 9 = …
Jawab:
= ²log 8 + 3log 9
= ²log 2³ + 3log 3²
= 3 + 2
= 5
4.
Nilai dari ²log (8 x 16) = ….
Jawab:
= ²log 8 + 2log 16
= ²log 2³ + 2log 2⁴
= 3 + 4
= 7
5.
Nilai dari ³log (81 : 27) = ….
Jawab:
= ³log 81 – ³log 27
= ³log 3⁴ – ³log 3³
= 4 – 3
= 1
6.
Nilai dari ²log 8⁴ = ….
Jawab:
= ²log 8⁴
= 4 x ²log 2³
= 4 x 3
= 12
7.
Nilai dari ²log Ö8⁴ = ….
Jawab:
= ²log Ö8⁴
= 2 x ²log 2³
= 2 x 3
= 6
8.
Jika log 100 = x Tentukan nilai x = ….
Jawab:
log 100 = x
10x = 100
10x = 102
x = 2.
9.
log 3 = 0,477 dan log 2 = 0,301 Nilai log 18 =
Jawab:
log 3 = 0,477 dan log 2 = 0,301log 18 = log 9 x 2
= log 9 + log 2
= log 3² + log 2
= 2 (0,477) + 0,301
= 0,954 + 0,301
= 1,255
10.
log 2 = 0,301 dan log 5 = 0,699 Nilai log 5 + log 8 + log 25 = ….
Jawab:
log 2 = 0,301 dan log 5 = 0,699
= log 5 + log 8 + log 25
= log 5 + log 2³ + log 5²
= log 5 + 3.log 2 + 2.log 5
= 0,699 + 3(0,301) + 2(0,699)
= 0,699 + 0,903 + 1,398
= 3,0