Respuesta :

mhanifa

Answer:

  • x = -1.5056

Step-by-step explanation:

To solve this equation log both sides and apply log rules.

  • [tex]14^{x-7}=12^{6x}[/tex]
  • [tex]log14^{x-7}=log12^{6x}[/tex]
  • [tex](x - 7)log14=6xlog12[/tex]

Substitute the values of logs:

  • [tex](x - 7)*1.1461 = 6x*1.0791[/tex]

Solve it as linear equation:

  • [tex]1.1461 x - 7*1.1461 = 6.4746x\\[/tex]
  • [tex]1.1461x - 6.4746x = 8.0227[/tex]
  • [tex]-5.3285x = 8.0227[/tex]
  • [tex]x = 8.0227/-5.3285[/tex]
  • [tex]x = -1.5056[/tex]