Solve for x.
4(12)4x=1000
Enter your answer to the nearest hundredth in the box.
x ≈ 5.21
Right.
To solve for x in the equation 4(12)4x = 1000, we can follow these steps:
1. First, simplify the expression on the left side of the equation by performing the multiplication. In this case, 4(12) becomes 48.
Therefore, the equation simplifies to 48 * 4x = 1000.
2. Next, we will isolate the variable x by dividing both sides of the equation by 48. This will give us:
(48 * 4x) / 48 = 1000 / 48
3. Simplify the equation further by canceling out the 48 on the left side:
4x = 1000 / 48
4. Divide 1000 by 48 to get:
4x = 20.8333...
5. Finally, solve for x by dividing both sides of the equation by 4:
(4x) / 4 = 20.8333... / 4
This simplifies to:
x ≈ 5.208...
Rounding to the nearest hundredth gives us x ≈ 5.21.
Therefore, the solution to the equation 4(12)4x = 1000 is x ≈ 5.21.