Respuesta :

inverse of log(6) is 1.28

Step-by-step explanation:

We have  , a expression log(6) . Let y = log(6) . We need to find inverse of y .

Let inverse of y be [tex]y^{-1[/tex] . So we know that multiplication of y and i'ts inverse will be 1 i.e.

⇒ [tex]y(y^{-1}) = 1[/tex]

⇒ [tex]\frac{yy^{-1}}{y} = \frac{1}{y}[/tex]

⇒ [tex]y^{-1} = \frac{1}{y}[/tex]

but [tex]y = log6[/tex]

⇒ [tex]y^{-1} = \frac{1}{Log(6)}[/tex]                     { [tex]log6 = 0.778[/tex]  }

⇒ [tex]y^{-1} = \frac{1}{0.778}[/tex]

⇒ [tex]y^{-1} =1.28[/tex]

Therefore, inverse of log(6) is 1.28