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Allushta [10]
3 years ago
8

If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0
<h3>Answer:  2p + 3q</h3>

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

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Answer:

See explanation

Step-by-step explanation:

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You get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

4 0
3 years ago
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Mars2501 [29]

Answer:

No

Step-by-step explanation:

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---

hope it helps

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3 years ago
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