Question

Part 1 [3 points]: Find the solution to the equation 64^(3 + x) = 4^(2x).
Part 2 [4 points]: Use complete sentences to explain the method used to solve this equation.

Answer 1

Find a common base between 4 and 64. Since 4^3 is 64, change the 64 to 4^3 so that it is now
4^3(4-x).
Now that the bases are the same, just solve the equation 3(4-x)=2x.
4-x=6x
4=7x
4/7=x

Answer 2

thanks :)