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1. ### Function composition

all you have to do is multiply it to the two solutions so say the factored quadratic is (x-4)(x+4), so the solutions are 4 and -4. just multiply the rad5 to those two answers.
2. ### Solving Exponential Equations SO CONFUSED ?

Don't distribute!!! Divide both sides by 3, leaving you with 5^x+1=5 and remember that 5=5^1
3. ### Solving Exponential Equations SO CONFUSED ?

Excellent explanation!
4. ### Solving Exponential Equations SO CONFUSED ?

Also-Because there are exponents involved, don't multiply the number outside of the parentheses inside of the parentheses!
5. ### Solving Exponential Equations SO CONFUSED ?

Okay! well, if the exponents have the same base (ie 2^x-1=2^6-x) then you can set the exponents equal to each other. For your problems, you will have to manipulate the bases to get them to be the same... for example if you have 2^x-4=8, that also equals 2^x-4=2^3, so then x-4=3.
6. ### Solving Exponential Equations SO CONFUSED ?

correction! 2(3^y-2) = 18 3^y-2=9 ln3^y-2=ln9 (y-2)ln3=ln9 y=(ln9)+2/ln3
7. ### Solving Exponential Equations SO CONFUSED ?

use natural logs to solve for the exponents! ie 2(3^y-2) = 18 3^y-2=9 ln3^y=ln9 yln3=ln9 y=ln9/ln3 all of them can be solved that way!