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

1 Answer

4 votes

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)

Show proper steps 3^{2 x}-28 · 3^{x}+27=0-example-1
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