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if i had 3 squared is equal to 3 to the x the only thing that makes sense for x is the x equal to only works because my bases are exactly the same so in this example what a lot of students will do is they say oh i recognized a 64 you know as an 8 squared and then they say well i can rewrite this as a 8 you know to the negative first power itamp;#39;s very important to recognize that we got to get these to be the same base typically what we want to do is find the largest number that they have in common 8 can be written as just a negative 1. so i can keep this 8 squared to the x plus 1 is equal to now 8 to the negative first raised to a 2x minus 1. this x plus 1 is a power so we need to group this all together this 2x minus 1 is a power so it needs to be grouped together you need to make sure you multiply by both terms inside of those parentheses when you distribute correctly you get a 2x plus 2 is equal to a negative 2x plus 1. now from this example we can just go ahead and get our var
