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consider this problem 3 raised to the x plus 2 plus 3 raised to the x is equal to 10 divided by 81. what is the value of x how do we solve this exponential equation if you want to take a shot at it feel free to pause the video and see if you can get the answer now the first thing we need to be familiar with is the property of exponents for instance x to the fourth times x to the fifth is equal to x to the ninth so when you multiply by a common base you can add the exponents which means you can go backwards lets say if you have x to the seven you can break that into x to the fourth times x to the third now what about three raised to the x plus two we can write that as three raised to the x times 3 squared because its x plus 2. and thats what were going to do with the first term in this equation were going to write it as 3 squared times 3 raised to the x so now lets get rid of this and then its going to be plus 3 to the x and thats going to equal 10 divided by 81. now notice tha
