Solve:

Question

4^(x-6)=2^(3x)

show all workings.

Answer 1

the bases are both multiples of 2, so this is easy

4^(x-6)=2^(3x)
2^2)^(x-6) = 2^(3x)
2^(2x-12) = 2^3x
then 3x = 2x-12
x = -12