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Yanka [14]
3 years ago
15

3 to the power x + 1 equal to 9 to the power 2x + 1​

Computers and Technology
1 answer:
dezoksy [38]3 years ago
5 0

<em><u>Answer:</u></em>

x = -1/3

<em><u>Explanation:</u></em>

3^(x + 1) = 9^(2x + 1); So we should first make 9^(2x + 1) a power of 3 so:

3^(x + 1) = 3^2(2x + 1) <-- I replaced 9 with 3^2 so then we have to multiply 2 by 2x + 1

3^(x + 1) = 3^(4x + 2)

We can then just create the equation: x + 1 = 4x + 2 (because the 3^ doesn't matter and we just want them to be equal so yeah)

We then have to simplify:

x + 1 = 4x + 2

Subtract x from both sides:

1 = 3x + 2

Subtract 2 from both sides:

-1 = 3x

Divide 3 on both sides:

-1/3 = x

There ya go

I hope this helped you! <3

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