Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Consider
10³ × [tex]10^{x}[/tex] = [tex]10^{9}[/tex], then
[tex]10^{3+x}[/tex] = [tex]10^{9}[/tex]
Equating exponents
3 + x = 9 ( subtract 3 from both sides )
x = 6
