Question

If
9 to the power n x 3 to the power 5 × 27 to the power 3 / 3 ×,81 to the power 4
= 27, then find the value of n.​

Answer 1

Step-by-step explanation:

(9^n x 3^5 × 27^3)/ 3 ×81^4 = 27

{(3^2)^n × 3^5 × (3^3)^3}/(3^4)^4 = 3^3

{ 3^2n × 3^5 × 3^27}/3^16 = 3^3

3^(2n+5+27)/3^16 = 3^3

3^(2n+32-16) = 3^3

3^(2n+16 ) = 3^3

now comparing powers of 3

2n - 16 = 3

2n = 19

n = 19/2