Como resolver a equação $$\frac{1}{5}^{2x} = 625$$ ?

x = -2, pois $$\frac{1}{5}^{-2} = 625$$ .

Qual é a relação entre as bases em $$6^{(2x-3)} = 216$$ ?

Ambas as bases podem ser expressas como potências de 6, pois $$216 = 6^3$$ .

Como resolver $$10^{(2x-1)} = 100.000$$ ?

x = 3, pois $$100.000 = 10^5$$ .

Como transformar uma equação exponencial em logarítmica?

Se $$a^x = b$$ , então pode-se escrever $$x = log_a(b)$$ .

Qual é a propriedade das potências que pode ser usada em $$3^{2x} = \frac{1}{81}$$ ?

A propriedade de que $$\frac{1}{a} = a^{-1}$$ .

Como resolver $$6^{(2x-3)} = 216$$ usando logaritmos?

x = 3, pois $$log_6(216) = 2x - 3$$ .

Definição de equação exponencial com base negativa

Não existem soluções reais para equações exponenciais com bases negativas e expoentes reais.

Como resolver $$\frac{1}{4}^{x} = 64$$ ?

x = -3, pois $$\frac{1}{4}^{-3} = 64$$ .

Qual é a forma geral de uma equação exponencial?

A forma geral é $$a^x = b$$ , onde a > 0 e a ≠ 1.

Equação Exponencial Flashcards

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1.

FLASHCARD QUESTION

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Definição de Equação Exponencial

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2.

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3.

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A base é 3.

4.

FLASHCARD QUESTION

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5.

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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Definição de logaritmo

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