To solve this equation, we first need to simplify both sides of the equation.
On the left side:(-4x)^3 = -4x -4x -4x = 64x^3
On the right side:27(1/3)^3x = 27 (1/27)^x = 27 1 = 27
So the equation simplifies to:64x^3 = 27
To solve for x, we need to find the cube root of both sides:x = ∛(27/64)x = ∛(27)/∛(64)x = 3/4
Therefore, the solution to the equation is x = 3/4.
To solve this equation, we first need to simplify both sides of the equation.
On the left side:
(-4x)^3 = -4x -4x -4x = 64x^3
On the right side:
27(1/3)^3x = 27 (1/27)^x = 27 1 = 27
So the equation simplifies to:
64x^3 = 27
To solve for x, we need to find the cube root of both sides:
x = ∛(27/64)
x = ∛(27)/∛(64)
x = 3/4
Therefore, the solution to the equation is x = 3/4.