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Algebra Level pending

The real numbers x , y , t x, y, t in this order, form a AP with common difference r r . Be n n a positive real number and other than 1. Assuming that 3 n x + 2 n y − n t = 0 \large 3{ n }^{ x }+2{ n }^{ y }-{ n }^{ t }=0 is true, find the common diference.

log ⁡ n 3 2 \log _{ n }{ \dfrac { 3 }{ 2 } } 1 2 n { \dfrac { 1 }{ 2 } }^{ n } log ⁡ 2 n 4 \log _{ 2n }{ 4 } log ⁡ n 3 \log _{ n }{ 3 }

Vitor Santos by Vitor Santos , 21, Brazil

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