Question

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth. log 3(x + 4) - log 3(x + 2) = log 327

Answer 1

The answer is x = -1.92.

Answer 2

`x = -(25)/(13)`

Explanation:

`\log_3{x + 4} - \log_3{x + 2} = \log_3 {27}`

`\log_3 (x + 4)/(x + 2) = \log_3 {27}`

`(x + 4)/(x + 2) = 27`

`x + 4 = 27(x + 2)`

`x + 4 = 27x + 54`

`-26x = 50`

`x = -(50)/(26)`

`x = -(25)/(13)`