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