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algol13
2 years ago
9

1/2 (n - 4) - 3 = 3 - (2n + 3). Find the value of n.

Mathematics
1 answer:
NikAS [45]2 years ago
5 0

Answer: I think the answer is n=2

Step-by-step explanation:

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myrzilka [38]

For this case we have the following equation:

4 ^ {(x-2)} = 8 ^ 6

We must create equivalent expressions in the equation, so that they have equal bases:

2 ^ {2 * (x-2)} = 2 ^ {3 * 6}

If the bases are the same, then the two expressions are only equal if the exponents are equal:

2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11

Answer:

x = 11

Option D

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