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blagie [28]
3 years ago
9

Solve 81^x = 27^^^x + 2. A. x = 1 B. x = 2 C. x = 5 D. x = 6

Mathematics
2 answers:
Margarita [4]3 years ago
5 0

Answer:

Step-by-step explanation:

81^x=27^(x+2)

3^4=81 and 3^3=27

3^4x=3^(3(x+2))

exponents are the same so we just take those

4x=3x+6

x=6

d1i1m1o1n [39]3 years ago
3 0

For this case we must solve the following equation:

81 ^ x = 27^{x + 2}

We rewrite:

81 = 3 ^ 4\\27 = 3 ^ 3

Then, replacing:

3^{4x} = 3^{3 (x + 2)}

For the bases to be equal then it must be fulfilled that:

4x = 3 (x + 2)\\4x = 3x + 6\\4x-3x = 6\\x = 6

Answer:

x = 6

Option D

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