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

ZacAttack asked May 28, 2023

399,866 views

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

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers