Question

√3^5*a^2= 3^a*3√3
Find the value of a​

Answer 1

Answer:

$\sqrt{ {3}^{5} } \times {a}^{2} = {3}^{a} \times 3 \sqrt{3} \\ \sqrt{9 \times 9 \times 3} \ \times {a}^{2} = {3}^{a} \times 3 \sqrt{3} \\ 9 \sqrt{3} \times {a}^{2} = {3}^{a} \times 3 \sqrt{3} \\ 3 {a}^{2} = {3}^{a} \\ {a}^{2} = {3}^{a - 1}$

a= 1(by hit and trial)