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Question Number 198064 by giovi last updated on 09/Oct/23 | ||
$$\mathrm{3}×\mathrm{5}^{{x}} +\mathrm{5}^{{x}+\mathrm{1}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\ $$ | ||
Answered by a.lgnaoui last updated on 09/Oct/23 | ||
$$\mathrm{3}×\mathrm{5}^{\mathrm{x}} +\mathrm{5}×\mathrm{5}^{\mathrm{x}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\ $$$$\mathrm{5}^{\mathrm{x}} \left(\mathrm{5}+\mathrm{3}\right)=\mathrm{8}×\mathrm{5}^{\mathrm{3}} \:\:\Rightarrow\:\:\mathrm{5}^{\mathrm{x}} =\mathrm{5}^{\mathrm{3}} \\ $$$$\mathrm{donc}\:\:\:\boldsymbol{\mathrm{x}}=\mathrm{3} \\ $$ | ||