Aqua Dragon wrote:(3/9^x)=243
I will guess that the above means 3/(9^x) = 243 or, in LaTeX formatting:. . . . .
I'm not sure what you mean when you refer, in your subject line, to "an irrational exponent"...?
To learn, in general, how to solve exponential equations, try here
. Once you've learned the basic terms and techniques, note that:. . . . .. . . . .. . . . .
Compare the powers to solve the equation.