[tex]a) x = 1/2\\\\b) x = 1/4\\\\c) x = 5/6\\\\d) x = -2\\\\[/tex]
Resolva as seguintes equações.
Para resolver as equações exponenciais, deve-se deixar as bases iguais
e igualar os expoentes.
[tex]a) 3^x = \sqrt{3}\\ \\ 3^3 = 3^{1/2}\\ \\ x = 1/2\\[/tex]
[tex]b) (1/4)^{4x} = 0,25\\\\4^{-4x} = 25/100\\ \\4^{-4x} = 1/4\\ \\ 4^{-4x} = 4^{-1}\\ \\ -4x = -1\ (-1)\\\\4x = 1\\\\x = 1/4[/tex]
[tex]c) 4^x = \sqrt[3]{32}\\ \\4^x = \sqrt[3]{2^5}\\ \\2^{2x} = 2^{5/3}\\ \\ 2x = 5/3\\\\x = 5/ 3.2\\\\x = 5/6\\\\[/tex]
[tex]d) 81^{(x +2)} = 1\\ \\81^{(x + 2)} = 81^0\\ \\x + 2 = 0\\\\x = -2\\\\[/tex]
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