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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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2 years ago

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Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

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a) The equation must be rearranged into a form with one fundamental trigonometric function first:

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b) The equation must be simplified first:

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Value of x is contained in the following sets of solutions:

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3 years ago

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The answer would be:

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~Travis

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3 years ago

Read 2 more answers