Question

Três perguntas de equação exponencial (por favor, com as contas)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{7^{\:2x + 4} = \dfrac{1}{49}}$

$\sf{7^{\:2x + 4} = 7^{-2}}$

$\sf{2x + 4 = -2}$

$\sf{2x = -6}$

$\boxed{\boxed{\sf{x = -3}}}$

$\sf{3^{\:5x}\:.\:3^{\:x - 1} = 243}$

$\sf{3^{\:6x - 1} = 3^{\:5}}$

$\sf{6x - 1 = 5}$

$\sf{6x = 6}$

$\boxed{\boxed{\sf{x = 1}}}$

$\sf{4^{\:2x + 1} = \sqrt[\sf{3}]{64^{\:\sf{x}}}}$

$\sf{4^{\:2x + 1} = \sqrt[\sf{3}]{4^{\:\sf{3x}}}}$

$\sf{4^{\:2x + 1} = 4^{\:x}}$

$\sf{2x + 1 = x}$

$\boxed{\boxed{\sf{x = -1}}}$