RÄspuns :
RÄspuns:
ExplicaČie pas cu pas:
logā3 = a
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logā96 = logā(3Ā·2āµ) = logā3 + logā2āµ = a + 5Ā·logā2 = a+5
logā(16/27) = logā(2ā“Ā·3ā»Ā³) = logā2ā“+logā3ā»Ā³ = 4 - 3a
logā12 = logā12/logā6 = logā(3Ā·4) / logā(3Ā·2) =
= (logā3 + logā4)/(logā3 + logā2) = (a+2)/(a+1)
logā54 = logā54/loā3 = logā(3Ā³Ā·2) / logā3 =
= (logā3Ā³+logā2) / logā3 = (3a+1)/a
logāāā8/9 = logā (8/9) / logā (2/3) =
= logā (2Ā³/3Ā²) / logā (2/3) =
= (3logā2 - 2logā3) / (logā2 - logā3)
= (3-2a) / (1-a) = (2a-3)/(a-1)
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