Question

If 2ki power n-7 multiply 5ki power n-4=1250,find the value of n

Answer 1

Sol: Given 2^n-7 * 5^n-4 = 1250

2^n-7 * 5^n-4 = 2× 5^4

So n = 8

As

8 - 7 = 1

8 - 4 = 4

Therefore

n = 8