Question

2^x-7=5^x-5=1250 then find x

Answer 1

Answer:

2^( x - 7 ) × 5^( x - 4 ) = 1250

1250 = 2 × 5 × 5 × 5 × 5

2^( x - 7 ) × 5^( x - 4 ) = 2^1 × 5^4

So, x - 7 = 1

x = 7 + 1 or x = 8

Or

x - 4 = 4

x = 4 + 4 or x = 8

Hence, value of x = 8

Hope it helps