Question

qual o valor de x ?
$4 ^{x - 4} - \frac{3}{81}^{x} = 0$
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Answer 1

qual o valor de x ?

Explicação passo-a-passo:

4^(x - 4) - 3^x/81 = 0

4^(x - 4) - 3^(x - 4) = 0

4^(x - 4) = 3^(x -4)

(4/3)^(x - 4) = 1 = (4/3)^0

x - 4 = 0

x = 4

Answer 2

${4}^{x - 4} - \frac{ {3}^{x} }{81} = 0 \\ {4}^{x - 4} - \frac{ {3}^{x} }{ {3}^{4} } = 0 \\ {4}^{x - 4} - {3}^{x - 4} = 0$

${4}^{x - 4} = {3}^{x - 4} .1 \\ \frac{ {4}^{x - 4} }{ {3}^{x - 4}} = 1 \\ { (\frac{4}{3} )}^{x - 4} = { (\frac{4}{3}) }^{0}$

$x - 4 = 0 \\ x = 0 + 4 \\ x = 4$

S={4}