Question

Which equation is equivalent to ( 1/3)^x= 27^x+2?

3x = 3-3x+2
3^x=3^3x+6
3^-x=3^3x+2
3^-x=- 3^3x+6

Answer 1

3^-x=3^3x+2

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

Answer 2

The the equation equivalent to given equation is
`(3)^(-x) = (3)^(3x)+ 2`

Explanation:

Given Equation as :

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

Or,
`((1)/(3))^(x) =  (3^(3))^(x)+ 2`

Or,
`(3)^(-x) = (3)^(3x)+ 2`

Hence The the equation equivalent to given equation is
`(3)^(-x) = (3)^(3x)+ 2` Answer