How do I solve this exponential equation? (With steps pls)

Question

3^(x+1) = 7

Answer 1

3ˣ⁺¹=7.

Take logs of each side:

(x+1)log(3)=log(7),

x+1=log(7)/log(3)=1.7712,

x=1.7712-1=0.7712. The base of the logs doesn’t matter, so you can use natural logs (ln) or logs to base 10, or whatever.