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)