Respuesta :

Sᴘᴀᴄᴇ7

We have to Find:

  • The value of x

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

  • Take Logarithm of both sides

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

  • Solving Further

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

  • Take the minus from (-x) and put in on log(6)

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done