Respuesta :

Sarah0404

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for x.

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