Equations with exponents SAT and SAT practice

#shorts

Sometimes, creating a list is better than writing equations for the SAT and ACT math test.

[moeberry]

Great video! Here’s the algebraic way to solve it, let a equal the first positive integer then b= a+1 and c = a+2. Now the equation becomes 2^a*2^(a+1)*2^(a+2)= 512=2^9 setting exponents equal to each other since the bases are the same and not 1, we have 3a+3=9, hence a= 2 b=3 and c=4, therefore 2^2 + 2^3 +2^4= 28

[JashXD]

thanks for solving more difficult problems

[sallybugs]

I would've been helpful if it the solution were in algebraic way

[Sgth]

Honestly, that is a brilliant strategy. I was going off of this route.

1024 = 2¹⁰. Therefore, 512 is 2⁹

a + b + c = 9

But this won't lead me to what a b and c are. 🤷