Question

${5}^{x + 2} = 100 \: entao \: {5}^{2x} e \: igual \: a$
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Answer 1

Explicação passo-a-passo:

$\sf 5^{x+2}=100$

$\sf 5^{x}\cdot5^2=100$

$\sf 5^{x}\cdot25=100$

$\sf 5^x=\dfrac{100}{25}$

$\sf 5^x=4$

Logo:

$\sf 5^{2x}=(5^x)^2$

$\sf 5^{2x}=4^2$

$\sf 5^{2x}=16$