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Mathematics
Angeline Nguyen
5 May, 03:48
Simplify: log81/8 + 2log2/3 - 3log 3/2 + log 3/4
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Ariella Maldonado
5 May, 04:53
0
0.
Step-by-step explanation:
Using the laws of logarithms:
log81/8 + 2log2/3 - 3log 3/2 + log 3/4
= log 81/8 + log (2/3) ^2 - log (3/2) ^3 + log 3/4
= log 81/8 + log 4/9 - log 27/8 + log 3/4
= log 81/8 + log 4/9 - (log 27/8 - log 3/4)
= log (81/8 * 4/9) - log (27/8 * 4/3)
= log 9/2 - log 9/2
= 0.
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