Find all values of c such that 3^2c+1=28*3^c-9. If you find more than one value of c, then list your values in increasing order

Complete the square on the left side:

Then the equation becomes

Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:

Then in increasing order, the solutions are

c = log₃(14 - √186), c = log₃(14 + √186)

30005

yes ok