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Inessa05 [86]
4 years ago
10

train a leaves westtown and travels at 50 mph toward smithville, 330 miles away. At the same time, train b leaves smithville and

travels at 60 mph toward westtown. After how many hours do the two trains meet?
Mathematics
1 answer:
LekaFEV [45]4 years ago
8 0
After 1 hour they meet      
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Answer:  1) Product property of logarithm,

2) Subtraction property of logarithm

3) Equality property of logarithm

Step-by-step explanation:

By the Product property of logarithm,

log a + log b = log(a.b)

And, By the Subtraction property of logarithm

log a - log b = log(a/b)

Also, by the equality property of logarithm,

log(a) = log(b) ⇒ a = b

Given expression,

log_2(5)+log_2(x+2)-log_2(x+1)=log_2(7)                                                                

\implies log_2(5(x+2))-log_2(x+1))=log_2(7)  (Product property of logarithm)

\implies log_2(\frac{5(x+2)}{2(x+1)})=log_2(7)  (Subtraction property of logarithm)

\implies \frac{5(x+2)}{2(x+1)}=7   ( Equality property of logarithm )

\implies 5(x+2)=7(x+1)    ( Multiplicative property of equality )

\implies 5x+10=7x+7  ( Distributive property of equality )

\implies 3=2x    (subtraction property of equality )

x=\frac{3}{2}       (division property of equality )

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3 years ago
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Answer:

Step-by-step explanation:

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