Question

Type the correct answer in the box.
log +log -10823= log

Answer 1

log 7

Explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log (
`(x)/(y)` )

Given

log
`(14)/(3)` + log
`(11)/(5)` - log
`(22)/(15)`

= log (
`(14)/(3)` ×
`(11)/(5)` ) - log
`(22)/(15)`

= log (
`(154)/(15)` ) - log
`(22)/(15)`

= log (
`(154)/(15)` ÷
`(22)/(15)` )

= log (
`(154)/(15)` ×
`(15)/(22)` )

= log
`(154)/(22)`

= log 7

Answer 2

the correct answer to the equation in the picture is log 7