Question

if 2^n-7×5^n-4=1250
find the value of n​

Answer 1

Answer:

the value of n in the given problem is 8

Answer 2

Answer:

n=8

I think your question is

(2ⁿ⁻⁷)(5ⁿ⁻⁴)=1250

Step-by-step explanation:

(2ⁿ⁻⁷)(5ⁿ⁻⁴)=1250

So, Here we have to express 1250 in terms of 2ˣ5ˣ

so,taking LCM of 1250= 2x5x5x5x5=2¹5⁴

(2ⁿ⁻⁷)(5ⁿ⁻⁴)=1250

2¹5⁴ =1250

now,as you can see (2ⁿ⁻⁷)(5ⁿ⁻⁴)=2¹5⁴ =1250

n-7=1

n=8

Or you can take the second component of the equation, n-4=4

n=8