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klemol [59]
3 years ago
8

Anyone know the solution to this algebra problem?

Mathematics
2 answers:
Volgvan3 years ago
6 0

Answer:

x=1

Step-by-step explanation:

Given: \frac{512^{x-2} }{(\frac{1}{64})^{3x}} = 512

To make this easier, we could change the base to a value of 2.

\frac{2^{9x-18} }{2^{-18x}} = 2^9

Move the denominator value to the numerator. When you do this, the -18x becomes positive, so you would add it to the value of 9x-18

2^{27x-18} = 2^9

Since the bases are equal to each other, that means the exponential values <em>must </em>be equal to each other.

27x-18=9

Solve for x.

27x=27

x=1

eduard3 years ago
5 0

Answer:

x=1

Step-by-step explanation:

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