Простейшие показательные уравнения. Задача 13

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\({7^x} = {4^{2x}}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\,{7^x} = {16^x}\left| {:{{16}^x} \ne 0} \right.\,\,\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\dfrac{{{7^x}}}{{{{16}^x}}} = 1\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,{\left( {\dfrac{7}{{16}}} \right)^x} = {\left( {\dfrac{7}{{16}}} \right)^0}\,\,\,\,\, \Leftrightarrow \,\,\,\,\,x = 0.\)

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