If 23x = 325, find the value of x

Explanation

23_x = 32₅

2 \(\times x^1 + 3 \times x^0 = 3 \times 5^1 + 2 \times 5^0\)

= 2x + 3 = 15 + 2

2x + 3 = 17

2x = 17 - 3

2x = 14

x = \(\frac{14}{2}\)

x = 7