Question

2^n-7 × 5^n-4 = 1250.Then find the value of n.

Answer 1

Answer:

n=8

Step-by-step explanation:

$2^{n-7} *5^{n-4}=1250$

$2^{n-7} * 5^{n-4} =2^{1}* 5^{4}$

since the base is equal, the powers will also be equal

∴ n - 7 + n - 4 = 1 + 4

  2n - 11 = 5

  2n = 16

∴ n = 8