Question

Solve the equation 2^4x=4^x-6

help me please ;<

Answer 1

2^4x=2^2(x-6)
4x=2x-12
2x=-12
X=-6

Answer 2

well rewrite the right hand side as a power of 2

\[2^{4x} = (2^2)^{x - 6}\]

and after using the power of a power rule gives

\[2^{4x} = 2^{2x - 12}\]

now you have the same base...

equate the powers and solve for x

\[4x = 2x - 12\]

Answer 3

Thanks alot <33