1 year ago

Solve for 'x' in the following equation, explaining each step. 3^ (-3x+7) = 3^ (7x-13)

Mathematics

1 answer:

Yanka [14]1 year ago

5 0

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

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