Question

Find the solution to the equation 64^(3 – x) = 4^2x. Using complete sentences, explain the procedure used to solve this equation.

Answer 1

I suggest using logarithms

Answer 2

I would write both sides with same base first since 4^3=64.
4^{3(3-x)}=4^{2x}
Now since both bases are the same, I would equate the exponents,
3(3-x)=2x.
you should be able to do the rest.