3 years ago

27 to the power of 3x=81

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

x=4/9

Step-by-step explanation:

27 ^(3x) = 81

Replace 27 with 3^3 and 81 with 3^4

3^3^(3x) = 3^4

We know that a^b^c = a^(b*c)

3^(9x) = 3^4

Since the bases are the same, the exponents are the same

9x =4

Divide each side by 9

9x/9 = 4/9

x = 4/9

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1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of th

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Answer:

V = 8,181.23 $cm^{3}$

Step-by-step explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V = $\frac{4}{3} * \pi * r^{3}$

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V = $\frac{4}{3} * \pi * 12.5^{3}$