Hello, anime_mania!

On the right side: .

Use the Base-Change Formula: .

Then: .

The equation becomes: .

. . which simplifies to: .

Therefore: .

. .

. .

. .

From [2], we have: .

. . Hence: . .[4]

From [1], we have: . .[5]

Substitute [5] into [4]: . .[6]

Substitute [5] and [6] into [3]: .

. . which simplifies to the quadratic: .

. . which factors: .

. . and has the integral solution: .

Substitute into [6]: .

Substitute into [5]: .