What are the clues which tell you that both sides of the equation can be written as powers of the base 3? The fact that either the denominator of the fraction or the number itself is a multiple of 3 serves are a clue that both sides of the equation can be written as powers of the base 3. How do you write 1/3 and 9 as powers of 3? With what operation do you combine the exponents 2 and x-1, and -1 and 2x? You combine them through multiplication. What is the exponent rule which told you that? Equate the exponents and solve for x.
Check your solution of x by substituting it back into the original equation.
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