Question

Solve for x, rounding to the nearest hundredth.
550.3^ x = 50

Answer 1

- 2.18

Explanation:

550 ×
`3^(x)` = 50

`3^(x)` =
`(1)/(11)`

`log_(3)`
`(1)/(11)` = x

x =
`log_(3)` 1 -
`log_(3)` 11

`log_(3)` 1 = 0

`log_(3)` 11 = 2.1826583386

x ≈ - 2.18