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3 years ago

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Mathematics

1 answer:

ki77a [65]3 years ago

3 0

Answer:

1,3 and 4

it is what it be

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

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

Ray’s weight increased by 11% in the last two years. If he gained 16.5 pounds, what was his weight two years ago?

kap26 [50]

2 years ago he weighed 119.5 pounds

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3 years ago

How would I factor x2 + 13x + 22

lozanna [386]

I hope this helps you

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3 years ago

A farmer sold 35 bags of rice at 25 % profit. If he sold each bag for ?7500:00. How much was his profit on 25 of the lot.

Doss [256]

Suppose that the farmer had bought the rice at x dollars per bag and had sold them at a 25% markup. How much did the bags cost him before he added the markup? 1.25x =$75 results in $75/1.25, or $60 per bag.

If he sold 25 bags, his profit would be 1.25($60/bag)(25 bags) = $1875.

I very seriously doubt that the rice was $7500 per bag. Perhaps you meant $75/bag...?

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3 years ago

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What is the area of this triangle?

zhenek [66]

Answer:

120

Step-by-step explanation:

alls you do is plug in the numbers its not hard sweetie

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2 years ago

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