Step-by-step explanation:
Recall that [tex]\log 10 = 1[/tex] so we can rewrite the equation above as
[tex]\log 10 + \log 2 = \log (x + 1)[/tex]
Also recall that [tex]\log(ab) = \log a + \log b[/tex] so the left-hand side becomes
[tex]\log [(10)(2)] = \log (x + 1)[/tex]
or
[tex]20 = x + 1 \Rightarrow x = 19[/tex]