Question

Solve the equation 2 * 5x = 8 * 125.
a) x = 5
b) x = 3
c) x = 4
d) x = 6

Answer 1

To solve the equation 2 * 5x = 8 * 125, divide both sides by 10 to isolate x. The correct answer is x = 3.

Step-by-step explanation:

To solve the equation 2 * 5x = 8 * 125, we need to isolate the variable x. First, distribute the multiplication on both sides:

10x = 1000.

Then, divide both sides by 10 to solve for x:

x = 1000/10 = 100.

So, the correct answer is x = 100.

To solve the equation 2 * 5x = 8 * 125, we first simplify both sides of the equation. Knowing that 8 = 23 and 125 = 53, we can rewrite the equation as 21 * 5x = 23 * 53. This simplifies to 21+x = 23 and 5x = 53 when we separate the bases. Since the bases are equal, the exponents must be equal, thus x = 3.