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3 years ago

1. How much is 50% of 10 liters of milk?

2 answers:

7 0

1. 5 liters of milk
2. 1,000 kilometers
3. 12 hours
4. Divide the number by two or multiply by 0.5
5. 200 kilometers
6. 1 liter of milk
7. 2.4 hours or 2 hours and 15 min.
8. Multiply the number by 0.1

ExtremeBDS [4]3 years ago

6 0

Answer:

1. 5 liters

2. 1,000 kilometers

3. 12 hours

4.Divide the numbers by two or multiple by 0.5

5. 200 kilometers

6. 1 liter of milk

7. 2.4 hours or 2 hours and 15 minutes

8. Multiple the number by 0.1

Hope this helps :)

Step-by-step explanation:

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Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

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3 years ago