Question

Find the value of n if, 5⁴ × 5⁵ = 5²ⁿ⁺¹​

Answer 1

Answer:

4 is the correct answer

Step-by-step explanation:

5^(4+5)=5^(2n+1)

=> 5^9=5^(2n+1). (5 will get cancelled both sides)

therefore,2n+1=9

=>2n=8

so,n=4

Answer 2

Answer:

n=4

Step-by-step explanation:

5^4 × 5^5 = 5^2n+1

or,5^4+5 =5^ 2n+1

or,5^9 = 5^2n+1

or, 2n+1 = 9

or,2n= 9-1

or,2n= 8

or,n = 8/2

therefore,n=4