Germany | A Nice Exponential Problem | Math Olympiad

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[@mr.bhoobaun821]

Easy solution- 7^x.7^8=8^x.8^7 (7/8)^x= 8^7 / 7^8 So, x= (7log8-8log7) / log7-log8

[@RealQinnMalloryu4]

7{x+x ➖ +8+8 ➖}=7^{x^2+16}=7^16x^2=112x^2 1x^2 (x ➖ 2x+ 1).8{x+x ➖ +7+7 ➖}=8^{x^2+14}=8^14x^2=112x^2 1x^2 (x ➖ 2x+1).