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3 years ago

Solve: 9^8-x= 27^x-3

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

x = 4.25

Step-by-step explanation:

First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).

Now, the equation can be written as 9^(8-x) = 9^(3x-9)

Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:

8-x = 3x-9.

8 = 4x - 9

17 = 4x

x = 4.25

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2 years ago

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3 years ago

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Answer:

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Given:

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