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)

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)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

What method is this?