Question

Part 1: Find the solution to the equation 64^(3 – x) = 4^(2x). (4 points)

Part 2: Using complete sentences, explain the procedure used to solve this equation. (4 points)

Answer 1

\[64=4^3\] so
\[64^{3-x}=4^{3(3-x)}=4^{9-3x}\] giving
\[4^{9-3x}=4^{2x}\] and solve
\[9-3x=2x\]

Answer 2

\[64=4^3\]
\[64^{3-x}=4^{3*(3-x)} = 4^{3(3-x)}\]
\[4^{(9-3x)}=4^{2x}\]
\[9-3x=2x\]
\[9=5x\]
\[x=\frac{9}5\]

Answer 3

What method is this?