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loris [4]
3 years ago
5

Help D: log3 x^6 =12 find x

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

\log_ab=c\iff a^c=b\qquad(*)\\\\\log_ab^c=c\cdot\log_ab\qquad(**)\\\\---------------------\\\\\log_3x^6=12\qquad\text{use}\ (**)\\\\6\log_3x=12\qquad\text{divide both sides by 6}\\\\\log_3x=2\qquad\text{Use}\ (*)\\\\3^2=x\to\boxed{x=9}

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Answer:

Anne is the best hitter as she has the best hitting average of 0.406

Step-by-step explanation:

Anne hits 65 bases out of 160 at - bats.

Beth's betting average = 0.399

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Now, we need to convert all the three hitting rates into same parameters to compare them with each other.

Average hit rate of Anne = \frac{\textrm{Total numberof base}}{\textrm{Total number of  at - bats}}

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Now, The hit - rate of Collin = 40%

Converting the percentage rate into decimal, we get the hit rate of Collin

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Hence, we get that Hitting Average of :

<u>Anne = 0.406</u>,  Beth = 0.3999 and Collin = 0.400

Hence, from the above data Anne is the best hitter as she has the best hitting average of 0.406.

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