Question

Show proper steps
3^{2 x}-28 · 3^{x}+27=0

Answer 1

1. Simplify the equation

from
`3^(2x)` to
`9^x`

because
`3^(2x) = (3^2)^x`

2. Split the equation into 2 parts

so that if one side equals 0, then the equation would evaluate to 0

3. Find the solution

You may find only 1 solution in
`\real` (real numbers)..

that is
`x = (log_(3)(28))/(2)`