Question

What is the value of x in this equation? Enter your answer in the box.​

Answer 1

x = 6

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

Consider

10³ ×
`10^(x)` =
`10^(9)`, then

`10^(3+x)` =
`10^(9)`

Equating exponents

3 + x = 9 ( subtract 3 from both sides )

x = 6

Answer 2

x=6

Explanation:

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