Question

responda e mostre o cálculo
${5}^{x + 2} + {5}^{x + 1} = 30$
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Answer 1

$5 {}^{x + 2} + 5 {}^{x + 1} = 30 \\ (5 + 1) \times 5 {}^{x + 1} = 30 \\ 6 \times 5 {}^{x + 1} = 30 \: \: \: \: \: \: \: \: \: \\ 5 {}^{x + 1} = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 5 {}^{x + 1} = 5 {}^{1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ x + 1 = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Resposta ⬇️

$\\ = > x = 0$

$Espero \: ter \: ajudado$

Answer 2

Resposta:

$0$

Explicação passo-a-passo:

${5}^{x + 2} + {5}^{x + 1} = 30 \\ \\ (5 + 1) \times {5}^{x + 1} = 30 \\ \\ 6 \times {5}^{x + 1} = 30 \\ \\ {5}^{x + 1} = 5 \\ \\ {5}^{x + 1} = {5}^{1} \\ \\ x + 1 = 1 \\ \\ x = 0$

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