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Nataliya [291]
3 years ago
15

6log6(36) simplify with logarithmic properties

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

6log6(36)

log6(36) is the same as 6^x = 36

Since 6^2 = 36, x=2 and log6(36)=2.

So, 6log6(36)=2x6=12

answer: 12

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A quantity with an initial value of 600 decays exponentially at a rate of
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Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

Q(t) = 600(1 - 0.0005)^{t}

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

Q(t) = 600(1 - 0.0005)^{t}

Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64

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