Solve for x 1/3=3^(2x+2)

Problem

1/3=3(2*x+2)

Solution

1. Rewrite the fraction on the left side as a power of 3 using the negative exponent rule 1/(an)=a(−n)

3(−1)=3(2*x+2)

2. Equate the exponents because the bases on both sides of the equation are equal.

−1=2*x+2

3. Isolate the term containing x by subtracting 2 from both sides of the equation.

−3=2*x

4. Solve for x by dividing both sides by 2

x=−3/2

Final Answer

1/3=3(2*x+2)⇒x=−3/2

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