Question

5^3a=5^a+3?

Answer 1

`a=3/2`.

Explanation:

I hope, the Problem is to solve the eqn. : `5^(3a)=5^(a+3)`.

`5^(3a)=5^(a+3)`.

`:. 5^(3a)/5^(a+3)=1`.

`:. 5^{(3a)-(a+3)}=1`.

`:. 5^(2a-3)=1=5^0`.

`:.2a-3=0`.

`:. a=3/2`.