Question

solve 16^x=4^3x-6

Answer 1

\[16^x = 4^{3x - 6}\]

rewrite both sides as powers of 4

\[(4^2)^x = 4^{3x - 6}\]

then \[4^{2x} = 4^{3x - 6}\]

equate the powers and solve

2x = 3x - 6

subtract 3x from both sides

-x = -6

divide by -1

x = 6