Question

como resolve essa conta aí n tô conseguindo​

Answer 1

${(0.3)}^{x - 5} = {(0.09)}^{5x + 2} \\ = > {\begin{pmatrix} \dfrac{3}{10} \end{pmatrix}}^{x - 5} = {\begin{pmatrix} \dfrac{9}{100} \end{pmatrix}}^{5x - 2} \\ = > {\begin{pmatrix} \dfrac{3}{10} \end{pmatrix}}^{x - 5} = {\begin{pmatrix} {\begin{pmatrix}\dfrac{3}{10}\end{pmatrix}}^{2} \end{pmatrix}}^{5x - 2} \\ = >{\begin{pmatrix}\dfrac{3}{10}\end{pmatrix}}^{x - 5} = {\begin{pmatrix} \dfrac{3}{10} \end{pmatrix}}^{2(5x - 2)} \\ = >{\begin{pmatrix}\dfrac{3}{10}\end{pmatrix}}^{x - 5} = {\begin{pmatrix} \dfrac{3}{10} \end{pmatrix}}^{10x - 4} \\ = > x - 5 = 10x - 4 \\ = > 9x = - 1 = > x = \dfrac{ - 1}{9}$