Question

Solve for x

11 to the x power is equal to 11 to the 4th power times 11 to the 5th power.

exponets.

Answer 1

x = 9

Explanation:

Using the rule of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))`

Given

`11^(x)` =
`11^(4)` ×
`11^(5)` =
`11^((4+5))` =
`11^(9)`

Since the bases on both sides are common, then equate the exponents

x = 9