Question

Find The value of n ?​

Answer 1

Answer is 3

5 power 3-2=5

3 power 6-3=27

5*27=135

Answer 2

Answer:

Given

${5}^{n - 2} \times {3}^{2n - 3} = 135$

${5}^{n - 2} \times {3}^{2n - 3} = 15 \times 9$

${5}^{n - 2} \times {3}^{2n - 3} = {5}^{1} \times {3}^{3}$

Comparing both the sides, we get

$2n - 3 = 3$

$2n = 6$

$n = 3$