Solve for a, b, and c to the problem a^x+b^y=c^z.

ZacAttack asked May 28, 2023

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39 votes

Solve for a, b, and c to the problem
a^x+b^y=c^z

ZacAttack asked May 28, 2023

2.3k points

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22 votes

Answer:

Solve for a:
a^x=c^z-b^y

Solve for b:
b^y=c^z-a^x

Solve for c:
c^z=a^x+b^y

Explanation:

Subtract
b^y from both sides of the equation.

Subtract
a^x from both sides of the equation.

Rewrite the equation as
c^z=a^x+b^y .

Costi Muraru answered Jun 3, 2023

2.4k points

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