Question

1)Resolva as Equações Exponenciais a) 3 x+1 = 9 b)4 x = 1024 c)2 x+2 = 512

Answer 1

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$\tt a)~\sf 3^{x+1}=9\\\sf 3^{x+1}=3^2\\\sf x+1=3\\\sf x=3-1\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=2}}}}$

$\tt b)~\sf 4^x=1024\\\sf 2^{2x}=2^{10}\\\sf 2x=10\\\sf x=\dfrac{10}{2}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=5}}}}$

$\tt c)~\sf 2^{x+2}=512\\\sf 2^{x+2}=2^9\\\sf x+2=9\\\sf x=9-2\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=7}}}}$