Question

if 5^3^x^–1 ÷ 25 = 125 , then the value of x , is​

Answer 1

Answer:

2

Step-by-step explanation:

Given that, 5^3x–1 ÷ 25 = 125

∵ 25 = 5 × 5 = 5^2 and 25 = 5 × 5 × 5 = 5^3

∴ 5^3x–1 ÷ 5^2 = 5^3

Using the law of exponent, a^m/a^n = a^m-n

⇒ 5^3x-1-2 = 5^3

⇒ 5^3x-3 = 5^3

Comparing both sides,

3x-3 = 3

⇒3x = 6

⇒x = 2

∴ The value of x is 2

Answer 2

Answer:

0.79

Step-by-step explanation:

5^3^x^–1 = 625

3^x^–1 = 4

x^–1 = 1.26

X = 0.79