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

x =  - ln(27x + 2) /  (ln 3)

Step-by-step explanation:

We start with :  (1/3)^x=27x+2

We can change  (1/3)^x =  3^(-x)

3^(-x) = 27x + 2

You can take natural log of both sides.

ln  3^(-x) =  ln (27x + 2)

-x * (ln 3)  = ln (27x + 2)

x =  - ln(27x + 2) /  (ln 3)

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves