Question

27³*+⁴=⁵raiz de 81. * equivale a "x"​

Answer 1

Resposta:

x = 28/15

Explicação passo-a-passo:

27^(2x + 4) = 81^(1/5)

(27^2x) * (27^4) = 3^(4/5)

27^2x = (3^4/5) ) / ( 27^4 )

3^4*(1/5) / 27^4 = 27^2x

3^4/5 / (3^4 * 9^4) = 3^2x * 9^2x

3^4/5 / (3^4 * 3^(2 * 4) ) = 3^2x * 3^4x

3^4/5 / ( 3^( 4+8 ) ) = 3 ^ ( 2x + 4x )

3^(4/5) * 3^(-12) = 3^6x

3^(( 4 - 60 ) / 5) = 3^6x

Corta os 3

56/5 = 6x

56/30 = x

x = 28/15