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Goshia [24]
2 years ago
11

Solve open parentheses square root of 6 close parentheses to the 8 x power = 216x−3.

Mathematics
2 answers:
Inessa05 [86]2 years ago
6 0

Answer:

-9

Step-by-step explanation:

ololo11 [35]2 years ago
4 0

We can make the base of the equation same on both the sides and then equate the exponents to get the answer as shown below:

(\sqrt{6})^{8x}=(216)^{x-3}   \\ \\  (\sqrt{6})^{8x}=(6^{3})^{x-3}   \\ \\  (6^{\frac{1}{2}}) ^{8x}=(6)^{3x-9} \\ \\  (6)^{4x} =(6)^{3x-9} \\ \\  4x=3x-9\\ \\  4x-3x=-9\\ \\  x=-9

Therefore, first option gives the correct answer

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