Question

Resolva as seguintes equações exponenciais e logarítmica e relaione-as com as respostas:

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_8\:64 = x}$

$\mathsf{8^x = 64}$

$\mathsf{\not8^x = \not8^2}$

$\boxed{\boxed{\mathsf{x = 2}}}$

$\mathsf{\left(\dfrac{1}{5}\right)^x = 25}$

$\mathsf{(5^{-1})^x = 5^2}$

$\mathsf{\not5^{-x} = \not5^2}$

$\boxed{\boxed{\mathsf{x = -2}}}$

$\boxed{\boxed{\mathsf{5^{log_5\:3} = 3}}}$

$\mathsf{log_3\:(x + 1) = log_3\:4}$

$\mathsf{x + 1 = 4}$

$\boxed{\boxed{\mathsf{x = 3}}}$

$\mathsf{\left(\dfrac{1}{25}\right)^x = 25}$

$\mathsf{(5^{-2})^x = 5^2}$

$\mathsf{\not5^{-2x} = \not5^2}$

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