Jawaban:

a). –3

b). -11/2 atau -5 ½ atau -5,5

Penjelasan dengan langkah-langkah:

logaritma

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x log x = 1

log 10 = 1

x log a . x log b = x log (a + b)

x log a : x log b = x log (a - b)

x log n . ⁿlog y = x log y

x log a = 1/ a log x

1/aⁿ = a^-n

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a). log 0,001

= log (0,1)³

= 3 (log 0,1)

= 3 (log 1/10)

= 3 (log 10^-1)

= 3 . (-1) (log 10)

= -3 .(1)

= –3

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b). ²log 1/32√2 --> 1/aⁿ = a^-n

= ²log (32√2)^-1

= ²log (32 × 2^½)^-1

= ²log 32^-1 + ²log 2^-½

= ²log (2⁵)^-1 + (-½)(²log 2)

= ²log 2^-5 - ½ (1)

= -5(²log 2) - ½

= -5 (1) - ½

= (-10 - 1)/2

= -11/2

= -5 ½

= -5,5

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