biftuts biftuts
  • 31-08-2021
  • Mathematics
contestada

solve the following equations
5^2x-2(5^x)-15=0

Respuesta :

Tasyha
Tasyha Tasyha
  • 31-08-2021

Answer:

x = 1

Step-by-step explanation:

[tex] {5}^{2x} - 2( {5}^{x} ) - 15 = 0[/tex]

[tex]( {5}^{x} {)}^{2} - 2 \times {5}^{x} - 15 = 0[/tex]

[tex] {t}^{2} - 2t - 15 = 0[/tex]

[tex] {5}^{x} t = - 3 \: \: .5[/tex]

[tex] {5}^{x} = 5[/tex]

[tex]x = 1[/tex]

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