Question

5 raised to 3x-1÷25=125​

Answer 1

Answer:

x = 2

Step-by-step explanation:

► To solve: 5^(3x - 1) ÷ 25 = 125

• Transposing 25 from L.H.S to R.H.S, the sign of operation changes from division to multiplication and we get:

⇒ 5^(3x - 1) = 125 × 25

→ 125 can also be written as 5 × 5 × 5, and 25 can be written as 5 × 5

⇒ 5^(3x - 1) = 5 × 5 × 5 × 5 × 5

⇒ 5^(3x - 1) = 5^(5)

• Removing 5 from both sides ofthe equation, we get:

⇒ 3x - 1 = 5

• Transposing 3 from L.H.S. to R.H.S, the sign of operation changes from subtraction to addition, and we get:

⇒ 3x = 6

⇒ x = 6/3

∴ x = 2

If x = 2, then 5^(3x - 1) ÷ 25 = 125 means that,

5^[(3 × 2) - 1] ÷ 25 = 125  ⇔ 5^(6 - 1) ÷ 25 = 125

∴ 5⁵ ÷ 25 = 125

To Verify:

► To verify that 5⁵ ÷ 25 = 125

→ 5⁵ = 5 × 5 × 5 × 5 × 5 = 3125

⇒ 3125 ÷ 25 = 125  ⇔  25 = 25

∴ L.H.S = R.H.S

HENCE, VERFIED!

Answer 2

Answer:

5 * 3 = 125

125 * 25 = 3125

3125 = 5 * 5 * 5 * 5 * 5