Question

If √3ⁿ= 3⁴ , then the value of n will be​

Answer 1

Answer:

the value of n will be 8

Step-by-step explanation:

√3n= 3⁴

3n=( 3⁴)²

3n=( 3)to the power 8

comparing both powers

n= 8

so the value of n will be 8

Answer 2

(√3)ⁿ = (3)⁴

(3)^½*n = (3)⁴

(3)^n/2 = (3)⁴

Equating the powers when the base are same,

n/2 = 4

n = 8