How do you solve 3^(2a)=3^(-a)? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Shwetank Mauria Nov 2, 2016 a=0 Explanation: 3^(2a)=3^(-a)=1/3^a i.e. 3^(2a)xx3^a=1=3^0 or 3^(2a+a)=3^0 Hence, 3a=0 and a=0/3=0 Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 4850 views around the world You can reuse this answer Creative Commons License