Respuesta :

Answer:

The the equation equivalent to given equation is [tex](3)^{-x} = (3)^{3x}+ 2[/tex]  

Step-by-step explanation:

Given Equation as :

[tex](\frac{1}{3})^{x} = 27^{x}+ 2[/tex]

Or,  [tex](\frac{1}{3})^{x} =  (3^{3})^{x}+ 2[/tex]

Or, [tex](3)^{-x} = (3)^{3x}+ 2[/tex]

Hence The the equation equivalent to given equation is [tex](3)^{-x} = (3)^{3x}+ 2[/tex]    Answer

Answer:

3^-x=3^3x+2

Step-by-step explanation:

To get the equivalent of ( 1/3)^x= 27^x+2 . we need to expand the expression.

( 1/3)^x= 27^x+2

Base on the law of indices

( 1/3)^x = 3^-x

Then

27^x+2 can be expanded as

3^3x + 2

Bringing the expression together

3^-x = 3^3x + 2