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pickupchik [31]
3 years ago
5

Logx + log(3x-13) = 1

Mathematics
1 answer:
Tom [10]3 years ago
8 0
X = 5
Condense the left side.
log x(3x-13)=1
Put a base 10 on each side to clear the log.
x(3x-13)=10
3x^2-13x-10=0
Factoring you get x=5 and x=-2/3. The domain for log is x>0 so the -2/3 is an extraneous solution.
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Answer:

Step-by-step explanation:

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Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

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From the information given,

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z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

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