Question

esquaçao exponencial
$a) \: {2}^{ \times } = 64$
$b) \: {25}^{ x } = 125 \\ \: c) \: {7}^{ x } = 343 \\ d) \: {2}^{x} = \frac{1}{32}$
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Answer 1

$\textbf{a)}\;2^x=64\iff \cancel{2}^x=2^6\Rightarrow x=6\\\textbf{b)}\;25^x=125\iff \cancel{25}^x=25^2\Rightarrow x=2\\\textbf{c)}\;7^x=343\iff \cancel{7}^x=7^3\Rightarrow x=3\\\textbf{d)}\;2^x=\frac{1}{32}\iff \cancel{2}^x=2^{-5}\Rightarrow x=-5$